Personally, I'm tired of paying for Europes security and want us out of there as soon as possible.
That's already on the cards, as Trump so helpfully demonstrated. Also, the US cooperates with Japan, SK and other countries without them being in NATO, so I don't see why they'd consider an EU Army as an enemy if they're strategically alined - and if they're not, it won't change anything because the Americans will do whatever they want anyway.
So yes, all for an EU Army that doesn't rely on the US.
The US has bilateral treaties in which the US undertakes NATO-like commitments to Japan and South Korea, and bilateral or multiteral (e.g., AUKUS, Rio Treaty) agreements with US-outward or mutual defense provisions with others, sure.
Are you imagining a similar relation with the EU replacing NATO, and, if so, how is that substantively different from just keeping NATO?