Male contraception and religion

After reading what feels like the millionth report on population control for my TA I started to wonder about the effects of a male contraceptive pill. A secret reason contraception isn't wanted in Roman Catholics (and some Protestants) or Muslims is because it gives the women power. But if the male could take the pill would these religions stop the males? In both of them the male reins supreme (over one or many wives) and the only thing a man can't do is masturbate and go outside of wedlock (although if your Muslim you can have multiple wives). So although the male contraceptive would permit the latter would the churches take the same route and more importantly would it work?
I surmise that officially they would have the same view (touted as a gender equality thing too) for the men, but my guess is this would drive many men away from the religions and create bigger splinter groups (especially of Muslims).