What did the Charedi population in the US do when there was a draft?
The US doesn’t have any real “Charadim” like in Eretz Yisroel. They have Chassidish (who mostly work), Lakewood (who mostly end up working, and don’t listen to BMG (the “Gedolim”) either way, as proven by the Christie election), and “Yeshivish” (who went to a Jewish Yeshiva). Those who do learn get an exemption, just like any other divinity student (4D).