Without the USA there would have been no NATO.
Without the USA, we wouldn't be talking on this forum, if we would even exist, most of our parents and/or grandparents probably would have been exterminated by now, there would be no EU, a 3rd Reich possibly, what a different world that would be :-0
Without the USA, there would be no Western civilisation, no [relative] freedom. Regardless of who the president currently is (and this one isn't as bad as most of the previous), the EU needs the USA as a superpower friend as much as they need the Russians and Chinese as superpower friends.
For all of Macron's and Merkel's posturing about an EU Army (the UK have been very quiet on the subject), NATO is still the main force in Europe and is currently engaged in poking the bear, but the bear isn't reacting.
NATO wouldn't be able to to poke the bear without EU/UK and US cooperation, so despite the media's reporting about Trump and NATO, it ain't the truth! All he said anyway was pay more to make it fairer, so I'm guessing they have paid up and are now engaged in troop movements to the EU's Eastern borders to provoke the bear into some kind of reaction.
Att you need to make your mind up - on the one hand you support an EU military (which is essentially warmongering) and yet denounce the US and Saudi (which includes UK/France/Germany/EU and various others) for warmongering! Remove your/our confusion and state what you would like to see?
The UK has already subordinated it's command and control to the EU, a process that has been going on for decades, sneaky, Brexit is not Brexit (whatever non-Brexit form that takes) whilst our military is subordinate to the EU.
I suspect that May has so much difficulty reaching a deal over Brexit because of the military position, everything else is fluff and bluff.