I don't know whether a love of catfights would disqualify a potential candidate for high office, but I can see how it might be embarrassing for a candidate if the fact was ever made public.
It might depend on reason(s) the person was interested in catfights in the first place, and also, what type of girl fighting was involved. For example, if the candidate liked to see female MMA, then I wouldn't see a problem. However, if the person enjoyed seeing scantily clad women wrestle and tear each other's clothes off, that could be a problem. Or, if the candidate just enjoyed seeing a good contest, again, such as MMA, that would probably be OK. But if the person revealed they were "turned on" by seeing women fight, again, that might be a problem.
I guess I won't be running for any political office any time soon!