The Chasidishe Gedolim (Rebbes) are equally opposed to the draft as the Litvish Gedilim are.
Taking a quick look at recent YWN stories, the following Rebbes are protesting the draft:
Belzer Rebbe Shlita, Satmar Rebbe Shlita, Ravaad HaGaon HaRav Moshe Sternbuch Shlita, HaGaon HaRav Shmuel Halevy Wosner Shlita, Chernobyl Rebbe Shlita, Rachmistrivka Rebbe Shlita. And many others.
Here is one recent story (there are many more):