Your premise is false at the outset. I am not opposed to contraception. I don't want to control other people's lives. They can do as they like.
What I am opposed to is forcing a faith-based organization to pay for an activity that violates their faith. If contraception coverage is important to you, DON'T TAKE A JOB WITH A CATHOLIC ORGANIZATION. If having wine with your lunch is important to you, don't work for Muslim or Baptist organizations. If using illegal drugs is important to you, don't apply to an employer with drug testing. If you want to cheat on your taxes, don't work for the IRS. If you want to cheat on your spouse, think twice about running for president.
The only possible intrusion I can contemplate tolerating is requiring an organization that does not cover contraception or abortion to DISCLOSE that fact to applicants. Then the applicant can make the choice as to whether that is a problem for them or not - in other words, make an informed choice.
I don't want to control people who believe differently than I do on this subject - but neither do I want to be controlled BY them. And that is what this is all about - not conservatives trying to control women, but liberals trying to control conservatives.
And by the way, caring for poor children is important to conservatives. We just don't think that creating more poor children should be a government-subsidized career choice!
“creating more poor children should [not] be a government-subsidized career choice.” This is exactly my point. While I can see your arguments about not working at places that violate your own standards or choices, the anti contraception issue does not stop there. I get the impression that preventing contraception by everyone seems to be the goal of some religious/political efforts. It also seems to me that the people involved in those efforts do not seem to have any interest in the children who are born after their approach succeeds.