Say yes, thank you, and of course you understand that she doesn't intend to reconcile. You know you don't deserve that, and you are sorry for all the pain you caused her.
End of discussion.
Then focus on YOUR KIDS when they are here. Honestly, they NEED YOUR ATTENTION lots more than you need your wife's approval.

It may take YEARS to win back your wife's respect, if ever. Be patient. You have to show her you've changed, that you're no longer concerned with YOURSELF first. Instead of worrying about yOUR pain, YOUR fear, you should be worrying about her and the kids and how they're doing. Period.

Ellie