Is it wrong?

Caitlyne • Bonus mom to 2💜💙 Bio mom to 1 💜
Alright, so recently, my ex and I broke up. I'm 9 weeks and 3 days pregnant, we've known for about 5 weeks.
He blamed the breakup on all the fighting we were doing, that it'd be unfair to raise a kid in that environment. 
I found out yesterday he cheated (he says he didn't, pretty sure he did) and has been telling his ex, who he cheated on me with, that he loves her since the day we broke up...
We've since had some great conversations and are best friends. I obviously still love him, and he loves our baby, and myself as the mother of his child. 
But I don't want his ex girlfriend to be involved in our baby's life... If they last that long.
I don't trust her to put my baby first, make my baby a priority and love it as her own.
She has a lot of unresolved issues with her ex, who she just broke up with... 
I know it's still 7 months away, but I don't trust her at all, not after she knowingly got between me and my family... What kind of morals is that... 
I hope to have my ex meet any man I plan on having a part of our baby's life, to make sure there's trust and stuff. 
I want my baby to be safe and if there's even the slightest thing off, I want him to see it, because I might now... 
He seemed okay with me not wanting her in our child's life, I just can't help but think I might just be overprotective of our baby... 
I know I can't stop him from seeing someone... But I just don't want her being in our child's life until I know she's grown up a bit and will raise our baby right and put it first..