Leave it to the blackhats and the bearded ex-brooklynites to get in a good old donnybrook.
If I understand my schisms correctly the blackhats don’t even think Israel should exist (the Messiah not having returned yet). They are of course exempt from having to serve in the military or even earn an honest living. They are pretty combative with their non-orthodox neighbors however. Especially when driving by on the sabbath.
I guess at least both sides hate the jews-for-jesus with equal fervor.