The other side is both bigoted and factually wrong.
1. keep the door open for anyone who wishes to change their mind
2. wrest power from everyone else -- workplace by workplace, jurisdiction by jurisdiction, culture by culture.
The pro-trans side is true, and sometimes truth has to go to war to win.
For example: one group believes in evolution, another believes God created the Earth out of nothing 6000 years ago. Without a time machine, neither one can categorically prove exactly what happened. But one side has mountains of evidence, and the other has dogma and ideology.
There's a lot we don't understand yet about how being trans works, just as there's plenty of gaps in the fossil record that we haven't been able to fill yet. But if you ignore all the evidence we do have in favor of cherry-picking only the isolated studies that might support your position, you're no better than the people who think that the scarcity of transitional fossils refutes evolution.