As an American, it is my perception that, historically, people seeking refuge flee from Europe, not to it. Consider the masses of Europeans who fled to find life in the New World, or the masses of Jews who fled to the Ottoman empire or Russia, or the masses who fled during the great wars.
We should not be terribly surprised by the European reaction to the influx of refugees. With the exception of the allied invasion of Normandy in WWII, they’re just not used to masses of people coming to the continent.
Europe is a great source of culture and history, wine and cheese, music and art, but outside the Vatican, compassion is in short supply and always has been.
Europe is a great place to visit, but only if you bring lots of cash. Oh, and don’t stay too long.