I don't fight for girls. I don't lift weights for girls. Personally, I lift weights so I can fight better. It IS a benefit that I'm fit, in shape, nice body etc. The mindset of "doing things to get girls" I've found to be unattractive to women. They tend to want you to have higher ambition than just doing things to get some pussy.
IMO, any woman who's even worth wasting time with is going to be busy her damn self and have some ambition (and redeeming qualities outside of her vagina). I've personally found that the busier you are, the more interested a girl is because you're not just out trying to fuck any girl. So by picking her she actually feels valued.
What girl's DONT like are guys that are JUST bodybuilding or fighting. If you have more to talk about than just those things she'll be interested in you because you're a multi-dimensional individual. Hell the LAST thing she should find out about you is that you fight. Up until then she see's that you don't drink (much), you don't stay out stupidly, you exhibit a lot of self control, you're a multidimensional individual, she can't just have you any time she wants because you have shit going on... That's attractive. No girl wants the guy that's always there just on her nuts.
That said if you're good at what you do, take a chick to the gym and let her see you fight (mma and muay thai are infinitely better for this than jiujitsu) it'll make her wet to see you hit people. But it has to be hitting... jiujitsu just looks gay to the untrained eye.
what most people think of jiujitsu: