I'm disappointed to see Democrats consider this normal. Since (heterosexual) marriage is an equal relationship between a man and a woman, there should be no more reason for a woman to change her name than for a man to change his. This practice absolutely perpetuates inequality. I know some will claim that it is for family unity, but most same-sex couples either don't change names or they combine/hyphenate them.
As for Quebec, I wouldn't go as far as banning women from taking their husband's name, but it should be opt-in not opt-out, and should be no harder for a man to take his wife's name than visa versa, and ditto for gay couples.