…d it odd that you suggest it’s a mainstream gender stereotype that fathers can’t be loving parents. I don’t know any gender stereotype in mainstream society that sees being a loving father as gender non-conformist. Seems to me that you’re misrepresenting your ideological opponents.
I have a 5-year-old daughter and I run a library Play & Learn program for families with kids 0–6. I see firsthand how parents of girls are much, much more likely to encourage their children to play with baby dolls. I also see how often it’s women who bring children to my program. Being a loving, present parent is something our society still presents as largely feminine. Yes, there are movements to change this (hooray!), just as there are movements to change other gender stereotypes (also hooray!)
My point about what is and isn’t gender-conforming is that it’s completely subjective. I don’t want you or an employer or Congress or anyone else deciding for people what’s gender-conforming and what’s not. I want what’s acceptable behavior for one worker to be acceptable for another, regardless of sex.