Reproductive health services are important because the act of sex is important. But it is very unlikely that we will soon see elected officials admit en masse that they like having sex with their spouses and (by God!) birth control should be therefore be accessible for that very reason.
The bishops would of course never tell their parishioners to vote Republican, but they left little to the imagination. Priests would preach at mass about the necessity of voting only
for pro-life candidates.
Conservative groups in particular found power and leverage with so-called wedge issues such as abortion and gay marriage in the past. With contraception, however, they've awoken the sleeping giant voting majority who don't want their ovaries to be debated.