i hate to break it to you, but theres plenty of hate.
during ww11, one of the litvisher rabbonim in america that was in charge of getting food and supplies to europe, refused to send stuff to lubavitcher bochrim.
heard firsthand from someone that worked in the office
this discussion reminds me of something that happened in elementary - about 5th or 6th grade
my school was lubavitch, but was the only frum seperated schhol in the city so everyone went there
the daughter of the litvish rav was in my class and always had a snide comment about chabad (mostly from her father)
after one comment too many, one of the girls (a baal tshuva family, at that point i dont know how strongly her family identified with chabad) said - your father is a rav and yet he cant even fulfill the one basic mitzvah of ahavas yisrael. the girl had a flip attack and couldnt believe people were attacking her father, so unfounded, not fair....
she couldnt see that constantly bashing chabad (even jokingly) is the opposite of ahavas yisrael