Hatesponge - I have never ever ever driven after a night out where I had my kids the next day. In that scenario I wouldn't have drunk at all. At least one of them needed to be sober to deal with those kids. Neither of them were. That is grossly irresponsible.
As far as the Op being called a shit parent, I don't agree. She has put forward her situation, posters (like me) have said they don't understand how she could have left her child. I still don't understand that. And my situation, if you read the thread, on the face of it was very similar.
The thing is, the op came on here looking for advice and then drip drip drip fed information - my partner doesn't drive became my partner is banned from driving became my partner is banned from driving for drink driving became my partner is banned from driving because he was drunk driving the next day with the kids in the car and was hours and hours late dropping off the kids.
BTW scatterbee - you say by a fluke the police pulled the car over. I'd bet the police pulled him over because they had his/your car reg and it was flagged up since his ex called them.
The Op has consistently made excuses for this man. I think he has suckered her (again I've said this before) right in with a load of bullshit fairystories about how unfair everyone is and how no one understands him.
As to the OP and her relationship with her DD - I think she is doing the best she can in the circumstances to build a relationship with her daughter and that's a good thing.
BUT if I was the OP's ex, I'd probably have my doubts about contact as well. He didn't have an affair. As far as I can see, he's the only innocent adult in this. The OP and her partner and her partner's ex all had affairs with various other people.
From her ex's point of view, she had an affair, left him with the child to bring up, immediately took up with one of his best friends and was living in a grotty place with him, oh and he has drink issues, violence issues and all the other problems that have been brought out in this thread.
I am not surprised that it has ended up the way it has with regard to that.