Let's not copy that fascist slogan, please.
Europe does not need to become 'great' for its own sake, it needs to become a holdfast for peace, democracy and international cooperation in a world where the biggest superpower is sliding towards nationalist autocracy.
There's absolutely no sense stoking jingoism on our side only to end up with our own Trump 10 years down the road.
The US military-industrial complex does not need you to defend it.
It might well be more complex than that, but you have every right to demand from your government to put its vast resources to use in order to tackle that complexity. Given the severity of the situation, I'd say you have a responsibility to.
Seeing such a tragedy unfold and going 'oh, my government probably has a good reason to keep funding the active genocide, I'd hate to give some extra paperwork to our bureaucrats by making a fuss!' is very defeatist, to put it politely.
That might be true for the American professional class as a whole, but Europe could still outbid the USA in industries it decides to focus on.
If for example the EU wanted to headhunt Spacex engineers, it could easily offer every one a bigger salary. Spacex's budget is still significantly smaller than the ESA's.
Not that the EU is likely to try that tactic in particular, although spending more money on space seems possible as part of avoiding reliance on the Americans.