No, I wouldn't automatically leave him, in fact I didn't.
I met my OH when his DS was a baby, he was paying significant maintenance but not being allowed contact. We got together. He fought, and was granted it.
We never missed a day and loved every single time.
One day we were returning from a day out, and got stuck on the motorway in a coach on the way back.
DsS's DM called the police and said we had abducted her child. We were both detained.
For 6months OH attended supervised access visits, feeling like a criminal, until we were graciously allowed to see him once a month.
These then stopped.
His DM then decided to throw the bombshell, "He's not your Son, so you can't see him again"
Funnily enough, she still wanted the maintenance for not-his-child while we went down the paternity testing route.
He was of course, his Son.
We fought again. No funding, so had to pay ourselves, along with the hefty maintenance that was of course still demanded.
Then the police came to arrest OH for a Hate Crime, which was a vile racist and homophobic text from an unknown number, signed off with his name
because you'd leave your name sending something like that?
No contact again for 5 months.
A year of consistent and happy contact once a week and every weekend. It was brilliant.
Then his DM met her now Husband and decided we weren't needed in his life. They moved 3 hours away from us, changed numbers and never gave their address.
Courts are geared to women. And sadly, some women are vengeful, nasty, evil bitches spawned from hell.
I have seen first hand what this has done to my OH.
He's broken his heart more times than I care to think about now, been signed off work ill and losing hair, pulled from our bed and arrested, then let go, but she's never had to answer to her false allegations.
I've had calls made to my employer stating I'm on drugs, we've had SS on our door regarding our 3 children, calls to our childrens school, saying that the children didn't have beds to sleep in
and we got to the point where we physically and mentally couldn't take any more.
So she won. We gave up. She won.
11 and a half years of pain, investigations, £1000s of pounds in court costs, solicitors fees, arrests and sitting in a cell while totally clueless as to what he has done (nothing).
We gave up, as we just couldn't fight anymore. So if anyone judges us on that, please feel free.
I sleep soundly at night knowing we did EVERYTHING we could.
We have run out of money now anyway.
DsS knows that our door is open to him any hour of the day or night, all he has to do is call or just come here and he will be loved and welcomed however long it takes. He knows this.
But it is up to him now, we haven't got the strength to carry on fighting his mother. She is fucking twisted and evil.
Feel free to judge. I empathise with your DH, OP.