A number of socialist leaning, authoritarian but secular regimes, all cold war allies of Russia, were removed with the help of the US and the UK (Afghanistan, Iraq, Libya), leaving behind chaos and civil war. Assad was the last of the bunch and he was very nearly toppled with US help before the Russians saved his ass.
I have no sympathies for these regimes and dictators, but not realizing even after multiple failures that they were not the worst that could possibly happen in those societies was a terrible mistake.
Continental Europe is bearing the brunt and the fascist right in the US and the UK are pouring scorn over the EU for failing to sort this mess out, even exploiting it to support their claim that anything other than bigoted nationalism of the Trump and Brexit variety is bound to fail. "Told you so!"
It has a certain sensationalistic bias but nevertheless very educative.
The result would probably have been as messy as Iraq was initially, but probably not as messy as what is there now.
Why do you need to be a self-hating European like that? Do you think if you cast a good enough light on the US and shit on your own enough, people from the States will somehow recognize you as one of their own?
Frankly, that's terrifying for Europe. Trump has forcibly removed our training wheels.
That said, NATO's not going anywhere. Theresa May's first action was to get the Trump to publicly reaffirm his commitment to NATO. At worst the US is going to demand other member states start paying the 2% of GDP the treaties they're signatory to actually already require.