Where would we be today if the moslems hadn't been stopped at the gates of Vienna in 1683 (I think it was)? Europe would have been taken over in relatively short order. But Europeans were made of sterner stuff back then. Today they'll just roll over. But no, the US will not fold.
Remember the old term Finlandization during the Cold War ? What Europe is experiencing now is Islamization. Their policies are limited and influenced by the fifth column in their midst.