For instance, "men can have babies" is a simple result of politeness and observable reality. Transgender people exist, and can become pregnant and have babies. The polite, sympathetic and decent thing to do when interacting with a transgender person is to use their preferred gender terms. This is true whether you're a small-government, live-and-let-live libertarian conservative (you live your life, I'll live mine) or a Christian values social conservative (Jesus spent his entire life around lepers, beggars and prostitutes and washed their feet as an act of love and compassion).
Combine those two facts 1) you've got a person who had a baby at one point in their life and 2) who should be referred to as a man today, and the result is you get a man who had a baby. Nothing left-wing or liberal about it, just basic civility and politeness to another person, which are values we should all embrace.