I think it's the opposite: with US remaining in NATO, Europe will feel cocky enough to get dragged in a war, Russia will of course retaliate and further escalat

I think it's the opposite: with US remaining in NATO, Europe will feel cocky enough to get dragged in a war, Russia will of course retaliate and further escalation (especially if Russia starts losing) highly likely will lead to the nukes. Now look at the news: Germany sends troops (for permanent stationing) to Eastern Europe. GB, France and Germany discuss deployment of their troops to Ukraine. Seems like I'm rather right, than wrong.