It makes a whole lot more sense but it's more a little drama playlet than a comedy sketch with that ending I feel. It needs her to make a comment on her parents being a couple of sickos rather than cry?
It's having a troubled birth but, as Badge says, there is definitely something there 
I think the big problem I'm having with it is the big reveal: How are we supposed to get everything that's going on - which, if I haven't misread it (again) is that the Dad is pretending to be a woman so that he talks dirty to a bloke who happens to be his wife who is posing as a man to try to get off with her daughter except she doesn't know that?
And that's after three EDITS to this post 