The "enlightenment" completely destroyed the idea that religious truth is true in the same way mundane truth is true. G-d was relegated to Never Never Land while most of life has been lived in "the real world." Ironically, this separation of religion from the rest of life is often invoked as the only way to protect Jewish religious freedom. Internally Judaism remains as Theocratic as ever, while externally Jews have learned to speak the language of the "enlightenment" to justify their right to worship.
Yet Jew hatred is different from any other on earth, and that is because G-d is real and they are the Chosen People. Only Theocracy, a word from which most Jews cringe, will end this. Only the universal acknowledgement of HaShem as the One and Only G-d will put an end to it. But the entire west--including, unfortunately, most Jews--will continue to find a secular solution so the "real world" may continue on its merry way with no G-d to tell people what to do.
"Restoring the American republic" is not the answer. 1789 isn't the answer. The only answer is the literal Kingdom of G-d, ruled from Jerusalem by the restored Davidic monarchy.
In my opinion, the Holocaust is probably the main driver in the increase in Atheism after the war, especially among people who identify as Jewish. People who learn about it, have to ask the question, If there is a God, where was he?