This is bull ****.

I've been lied to several times in my life, I've been cheated on, and yes it did cause me severe trust issues, but I was not abusive!
If he's being abusive now, trust me, he would've been abusive even if you hadn't lied! He is mentally unstable and this was just something he could cling to. If it hadn't been this, it would've been something else. That's how an abuser's brain works. I've dealt with plenty in my life.

Why are you doing this to yourself?
The longer you wait, the more miserable you'll become.
He would be a terrible father for your children and you should not be that selfish to bring children into this world to have such a terrible parent either.

You need to find the strength to get out. This person is toxic.

You deserve better.