Sure, but they'd turn the world against them. Or at least all of Europe. It'd be trivial to disable ASML's production process, too - as others have commented, they rely on tons of suppliers as well as a lot of local employees and knowledge.

I do love armchair hypotheticals like that, but a few seconds of thinking will show that a hostile takeover of the country will not mean the US retains access to ASML's machines.

How big do you think those bases are, exactly? They are reliant in the host country.

It's a bit naive to expect US bases in Europe to still be there in the next 20 years. First, Trump clearly wants to pull out of Europe, because the current Republican party has basically no interest in Europe whatsoever (and it may even be seen as an enemy by them - it's the embodiment of all the "social state" fears they harbour). Second, if the US stop cooperating with the EU on security and forces Europe to rearm, they would probably become redundant and an easy target for populist movements - especially when Trump is out and will be replaced by a less appealing figure. Meloni, ... won't be able to sell Trump as a role model to their voters for long if he really plans on fucking up the European economy; if there's little to be gained it's easier for populists and nationalist in general to just paint him as an enemy.

As a European there's been a lingering feeling of anti-Americanism in Europe that's been somewhat dormant for the last 30 years. It's clearly awakening now, and it risks going mainstream too, which would basically make the position of US bases untenable unless there's a direct reward for them (like, having security guarantees)

LOL. Do you think a few thousand soldiers can beat a country's military?

And what makes you think EU countries won't kick out US soldiers until then?