I agree, but you're being a little biased I think, presumably due to your experience and the news you read:
>"I hate how those people live, but I'm not going to try to change them."
This is phrased to sound reasonable without context, but based on your example, it's more like "They are fairly objectively killing/beating/oppressing people for their gender/sexuality, but I'm not going to try to change them." I agree it's probably futile, especially in this case, but we should be realistic about what we are asking people to accept.
As for the domestic example of abortion, everybody I know on the right, friends and otherwise, want it illegal for everybody, and have a pretty deep hatred for people who get abortions (sometimes barring health reasons), in their own state and in all others. On this and other topics, they are all firmly in "dominion" territory, even going so far as to "joke" to varying degrees about killing people on the left for their crimes.
I am not refuting your point though, and I'm not taking a "both sides" stance, just offering a different view on the same conclusion. In general people want to exclude others, and in general the right favors splitting first, and, if that's unrealistic, dominion second, while the left tend to favors dominion first. Both are enormous disasters.