NO.
LEAVE HIM.
Yesterday, I spent about two hours on the phone to a very good friend. She has just spent the last two years of her life absolutely busting a gut to try and pretend to herself that every single one of the million red flags waving like a cheerleading squad around the despicable waste of skin she calls a partner didn't exist. That he was just 'finding his feet as he's never lived with anyone before'. That he was just 'really a sociable person, he just loves banter and that's been his life for 42 (yes 42!) years you know, pubs and casual relationships, that's been him up til now'. That 'he was just shocked and took a while finding his feet at being a dad' (when they got pregnant at the end of the first year of their frankly grim sounding relationship). That he's not a lazy misogynistic shit, 'he's learning that he has to change nappies and help out more, he's just scared of hurting the baby.' That when he blew up in her face and accused her of all sorts when she confronted him about some dodgy messages after a stage weekend (oh the cliche) he was 'just hurt about being accused because he loves me and our little family so much.' Etc.
Well, now after a miserable first year of their baby's life not even she can ignore the reality: he's a lazy, rude, unintelligent player who liked the idea of a proper partner and a baby coz that's what you do at 42 isn't it? - and he was getting a bit sick of having his mum be the person he had to go back to to get his shirts washed and his Sunday lunch. But now he's bored, he misses all his Saturday nights out and having a noisy baby is beginning to grate, and there's no way he can keep up the pretence that his default setting isn't to act like a panting dog which can't pass a lamp post without trying to hump it.
So she is miserable, and kicking herself that she didn't get rid a long time ago. Preferably before the baby, but even after it: he's RUINED her first year with her baby, frankly.
This guy is a total prick. What he's said about you, and your baby especially, is HOW HE THINKS. And that is your warning, frankly. If you 'back down', you are basically welcoming in a life where you learn to live with disrespect, cruelty, infidelity, laziness and a whole lot more. If you stay with this guy, make no mistake about what you are signing up for. You'd be an utter utter fool to stay. Pregnant or not. Especially pregnant, in fact.