In the end Viktor Orbán didn’t, as he’d promised, celebrate Donald Trump’s win with “several bottles of champagne”. He was in Kyrgyzstan, he apologised, “where they have different traditions” – so it was vodka. But it was still a “fantastic result”.

“History has accelerated,” Orbán crowed at an EU summit in Budapest last week. “The world is going to change, and change in a quicker way than before. Obviously, it’s a great chance for Hungary to be in a close partnership and alliance with the US.”

Hungary’s illiberal prime minister – and the EU’s disrupter-in-chief, lauded by Trump as a “very great leader, a very strong man” – was not the only figure on Europe’s nationalist right to hail the president-elect’s larger-than-expected victory.

Geert Wilders, the Dutch anti-Muslim firebrand whose Freedom party finished first in last year’s elections and is the senior partner in the ruling coalition, also posted his congratulations, jubilantly urging Trump to “never stop, always keep fighting”.

Italy’s prime minister, Giorgia Meloni, commended a “historic friendship” which “will now grow even stronger”, while Alice Weidel of Alternative for Germany (AfD) hailed a defeat for “woke Hollywood”, adding that Trump “is a model for us”.

Europe’s fast-advancing far-right parties, in power in eight EU member states and knocking at the doors in more, have long seen in Trump a powerful ally who shares their populist, nation-first, conservative, Eurosceptic and immigration-hostile views.

But what can they actually expect to gain from Trump 2.0? For all their enthusiastic words, analysts and diplomats say, Europe’s mini-Trumps will probably not get much – and may even find themselves worse off. What’s more, some appear to realise it.

Certainly, there may be some political upside to basking in reflected Trumpian glory. “The coming Trump presidency will most probably embolden Europe’s far right and illiberal actors,” concluded experts at the Centre for European Reform thinktank.

“Trump will strengthen far-right parties not just by normalising and amplifying their ideas, but by boosting their electability.” His win legitimises their grievances and rubber-stamps their sovereigntist vision; history seems to be moving their way.

Besides Orbán, Meloni, Wilders and Weidel, Europe’s longstanding Trump admirers include Marine Le Pen of France’s National Rally (RN), Slovakia’s prime minister Robert Fico, Austrian far right leader Herbert Kickl and Serbia’s Aleksandar Vučić.

They may well be joined after elections next year by Andrej Babiš in the Czech Republic, and – with both France and Germany, the EU’s traditional powerhouse, weakened by domestic political crises – their influence is plainly on the rise.

Some experts argue selected European far-right leaders could be strengthened personally by Trump’s win: Meloni, for example, has put in the groundwork, praising his brand of politics as a model for Italy and regularly travelling to his rallies.

Common views on issues ranging from immigration to abortion, and her flourishing rapport with Elon Musk, could see her become Trump’s “main interlocutor in Europe”, said Lorenzo Castellani of Rome’s Luiss University.

Hungary’s foreign minister, Péter Szijjártó, expressed much the same ambition for Orbán. “We can have a good hope that Hungarian-American political cooperation will return to its peak form,” he said: Orbán and Trump have “similar thoughts”.

But the dynamics are a lot more complicated than that. While Europe’s far-right leaders may align comfortably with Trump in their hostility to immigration and international institutions, there are also significant differences.

Meloni’s staunch support for Nato and continued international aid to Ukraine in its struggle against Russia’s full-scale invasion, for example, will not be greeted with enthusiasm by the more isolationist voices in the incoming US administration.

Similarly, Orbán’s cosy “all-weather comprehensive strategic partnership” with China, which Hungary has welcomed with open arms as a key economic partner and foreign investor, is a long way from Trump’s aggressively hardline approach to Beijing.

As US Republican Mitch McConnell put it, “when Chinese state enterprise says jump, Hungarian officials ask how high”. Those words “caution against any guarantee of deeper [US-Hungary] collaboration”, foreign policy expert Zsuzsanna Szelényi said.

Trump’s promised America first trade policies could also prove complicated to negotiate for Europe’s far-right parties. As members of the EU’s single market, they could not respond individually to US-imposed tariffs and a likely trade war.

Le Pen’s lukewarm response to Trump’s second triumph – in marked contrast to her joy at his first in 2016, which she hailed even before he had officially won – reflects widespread concern over the consequences of Trump 2.0 for EU industry and jobs.

“Americans have freely chosen their president,” Le Pen said. “This new political era should contribute to the strengthening of bilateral relations and the pursuit of constructive dialogue and cooperation on the international stage.”

Her protege, Jordan Bardella, even echoed French president Emmanuel Macron, saying that for “us French and Europeans, this US election should be a wake-up call … an opportunity to rethink our relationship with power and strategic autonomy”.

Far-right voters in Europe are far from uncritical of Trump’s brand of politics, polls suggest: a pre-election YouGov poll found, for example, that people who backed Le Pen would rather have Kamala Harris in the White House than Trump.

“Trump’s attitude towards Europe … will be harmful to far-right parties’ core electorate – think inflation, de-industrialisation, job losses,” said Catherine Fieschi of the European University Institute. “Trump is bad news for them.”

The idea that Trump himself “gives a damn about building relationships with these people strikes me as very very unlikely”, Fieschi added. “He will think about them on a case-by-case basis, and see whether he can extract something.”

Faced with the concrete threats to the continent posed by a second Trump presidency that promises to be even more radical than the first, the EU that Europe’s far-right parties have so long reviled may start to look a little less unattractive.

Orbán may be strong at home, said Szelényi, “but Hungary is small, deeply integrated in the EU, and its people like being Europeans. The country’s progress and success is far more dependent on the success of the EU than on anything else.”

Like other far-right leaders, said Catherine de Vries of Bocconi University in Milan, Orbán has “tried to play both sides, be strategically ambiguous. The thing about Trump is, he’s not going to let you do that. He’ll force you to make a choice.”

Europe’s populists will continue to “say Trumpian things, especially if they have an election coming up”, De Vries said. “But when push really comes to shove – Europe’s security in Trump’s hands, Nato not guaranteed – then maybe quite a few are going to say, maybe we need to work on this in Europe.”

Far from uniting Europe’s far right in triumph, Trump’s return could actually deepen the conflicts between them. Ultimately, concluded Fieschi, Trump “is going to make the lives of Europe’s far-right leaders, as Eurosceptics, a lot harder. They’re going to be caught between staying Eurosceptic, lining up with Trump and hurting their base – or lining up with the EU, shedding their specificity and losing voters. They’ve been ‘out-populist-ed.’”

Additional reporting by Angela Giuffrida in Rome