Rather than speaking in generalities, can you specify particular political positions that you feel have been forced upon you?
I'm a conservative Christian. I believe that homosexuality is a sin. The one co-worker who I knew was gay, I told him that straight out. I also continued to work with him, and kept him as my friend. (Lots of my friends are sinners. For that matter, so am I.) I continued to be someone he felt he could confide in - he'd come talk to me when he needed to gripe, because he knew he could tell me sensitive stuff and I wouldn't burn him with it.
Now here comes company diversity training. It includes LGBTQ stuff. If it says "treat people professionally; whether they are LGBTQ or not is not something that affects how you treat people in the office", well, I'm fine with that. It's what I do anyway.
But if the diversity training moves on to "you should have a positive view of gay marriage" or some such, well, that's forcing a political position on me.
Note well: I have never experienced that. But I think I've heard of such things happening (and no, I can't document even hearing it).
"He looked around at them in anger and, deeply distressed at their stubborn hearts, said to the man, “Stretch out your hand.” He stretched it out, and his hand was completely restored."
Mark 3:5
But yes, God is the judge. I'm not. But God has called something sin, I can safely rely on His judgment.
His interactions with his coworker illustrate this pretty well. Isn't that all we can ask of someone with a different view?
So, again, the concern is of a hypothetical nature.