Yup, Europe has been two faced since the Romans decided to walk back to Italy. I even love that you put up statues to the hypocrisy such as Boadicea who killed drastically more Britons then she did Romans. To be fair, Southern war memorials do the same thing in the US, celebrating not great people that people have decided to glorify. If you can find me a society that isn't two faced, especially multi-national organizations, I'd love to hear about it.
I agree, the US rebellion struggles mightily without French assistance and would have gone on for much longer. Of course, that would have left the English economy in even more of a dire situation then it was. It also would have severely limited the English response to that Napoleon chap who shows up a few years later and then we get the fun what if whether England could have defeated Napoleon if the Hapsburgs, Prussia and Russia are wiped out while England is still dealing with future Rednecks.
The challenge with running an empire over the thousands of miles, and to be far, you are the best in world history at ever doing it, is that if the population becomes self sustainable enough they start to wonder why they need you. The beauty for you is that the majority of your territories were lacking something that made them require your support to thrive so almost none of them try to actually leave except us ungrateful peasants (and the Irish, but come on, its what they do).
Yes, absolutely there are a fair number of Europeans who hate America. A hundred years ago it was those who looked down at the US for not joining WW1 sooner as well as the Socialists. The Socialists are still around and spewing their hatred. They have been joined by left leaning Academics and their followers. They were primarily ignored (except for France) until the Soviet Union fell and then they've picked up speed since with the former East Germans declaring that the US wasn't needed in Europe because the Russians were super nice and kind and they will never to do anything mean and that Thatcher and Reagan just made up all of those mean things about them.
So yes, there are a fair amount of Europeans who hate the US. Now are there just as many and if not more who are good with the US? Absolutely. But like online communities, the haters are the loudest so that is who gets shown on the news/social media in the US. Just like the loudest the Europeans hear are MAGA isolationists who believe that every European lives in a castle and have a title like "His Excellency, President for Life, Field Marshal, VC, DSO, MC, Lord of All the Beasts of the Earth and Fishes of the Seas and Conqueror of the British Empire in Africa in General and Uganda in Particular." (Bonus points if you know who claims that title).