Get a job someplace else then, or become a large enough shareholder to effect policy change, or start your own business.
Your feelings should not dictate company policy beyond the consideration that the owner himself decides to give to your feelings.
You don't have a right to have a job that automatically comports with your personal beliefs or lifestyle choices, regardless of what the law claims for this special interest group or that.
So yes, you check it at the door, regardless of what it is. You do at my business, anyhow, and that's a right every employer should have, even if the law says otherwise.
It's also easy to give a flip response like 'find another job'. I LIKE my job, I LIKE my company. They're one of the largest corporations on the face of the planet, and they treat their people well. I have a responsible position and am good at what I do. I have no desire to leave it.
I also reserve the right to NOT play along with the PC nonsense that occasionally gets passed down. Here's a clue: most don't play along. They give it a surly "yeah yeah; right", then press on doing their jobs. I have the luxury of doing just that.
Not all do. It's grossly unfair, and if you believe that it is perfectly ok for a corporation to shove the latest gay-loving or other ultra-hip-PC crap down their employees' throats while, at the same time, you insist that employees check their beliefs at the door.......then God help you if you ever grow to be a large company.
I wonder how your employees would feel if you publicly posted your stance on this by the water cooler.