The New Face Of Entitlements

Let me try and understand this insurance mandate logic:
Regarding increased costs, the left is saying the mandate is irrelevant because all insurance companies will want to provide contraceptive pill coverage because it’s cheaper and healthier in the long run…..
So are they also going to mandate diet pill coverage?
Regarding participation, the left is saying that failing to provide free prescription coverage for birth control pills restricts a womans access to healthcare….
So are they going to mandate cab fare, or transportation coverage?
Regarding moral objections based on religious beliefs, the left is saying that the church is not providing coverage, the insurance company is.
So who exactly is paying the insurance premiums?