Perfect, then they don't need US' $$ (or NATO) either, so... everybody's happy ?
And the US are not paying $$ for anybodys army. And they know very well how to use their own capabilities outside of NATO and for their own interests.
Because this is the bottom of it. European countries want the protection, while not paying their share, and making fun on Uncle Sam spending so much on their military, and not enough on their social program.
Europeans don't want the US playing global super power. They don't need it. And they ain't paying for it.
[the answer to this question is of course "no", European countries still want the US to be paying for their "protection".]