Government insurance, on the other hand, can easily have abortion as an optional coverage.

If one conservative makes a fuss about taxpayer money paying for abortion, well, to hell with him. Private insurance is not free money either. Even though he's got an insurance with no abortion coverage, he could still protest other people's with abortion coverage. For example he could have argued that why would my company use my hard earned profit to pay for abortion? To him the company would say to hell with you, the door is that way.