Great advice from Headofthe.
this is a clear case of unrealistic, overbearing, disengaged selfish cunt.
As always, am impressed by the MNers who manage to know everything about a person/situation from a few lines on a fucking page. 
I just looked up your past threads OP, as someone here mentioned another thread where you mention that your DS has Aspergers. What came up on searching your nickname were numerous threads where you've commented and said how challenging your child's behaviour has been for years (I didn't read all the threads, just your recent one, so apologies if I'm drawing too many conclusions). My DD has AS so I know that can be hard. As someone mentioned upthread, does your DH have traits of AS? I certainly do, to the point where I am currently considering getting assessed. One of my many aspie traits is that I have a hypersensitivity to sound, mainly high pitched sound. If a child screams near me it physically hurts me and I have to stuff my fingers in my ears and leave immediately if they don't stop. I think people who aren't hypersensitive to noise don't realise how unbearable it is for those who are. I find children bickering, constantly talking/asking questions and making noise, very stressful indeed and I certainly couldn't tolerate it all day. Obviously that makes me an unrealistic, disengaged, selfish cunt though. 
At 6 and 7 (I see from your other thread), they are quite old enough to go to their rooms and play quietly or read a book from time to time, and also quite old enough to be learning not to interrupt a conversation between adults with constant questions and derailments.
It sounds like your parenting styles are so different that your DH has just given up and wants to stay out of the way as much as possible. I agree with Head that finding something that he can do with the children would be a really good start, preferably one on one so that they're not bickering and competing for attention. What are the children's interests? Could he take them on a nature walk? Swimming? It's ok for parents to parent differently, I think - kids are smart enough to figure out that people are different and that what they can get away with with one parent/adult, they can't with another. The problem comes when they see/sense that they are causing a rift/ problems between the parents, I think.
Could you sit down with your DH and have a frank, non-blaming discussion about what he thinks he could do to improve his relationship with his children?