breaking up - that depends. I think there is a major difference btw going to a strip club and watching from a distance, obviously, and getting a lap dance, naked no less. how did that happen, bec if I understand right, that usually needs to be arranged?
if this has been an ongoing issue btw the two of you, and he went anyway, probably yes.
if this just happened, no. did he tell you himself? but anyways, no. I wouldn't be happy, obviously but I wouldn't break up over it, if you agree it won't happen again, given that you don't like it. if this might turn into a habit - i'd let it go. anyhow, it really depends on the situation IMO.
and, the whole bodily fluids thing is just grossing me out.... EW!