Aud has some very wise words... I agree that respect is something which takes time. I think what your husband is saying and doing indicates he wants to move in that direction. Your patience and personal growth will be a good role model for him.
I have to echo the sentiment Aud shared that you shouldn't hold your breath about OW to ask forgiveness. I'm pretty certain that will never happen in my sitch either... and even if my husband's OW did, I suspect I'd just be one in a line of women she'd be asking forgiveness from. Good luck with the job!
There is no arriving, ever. It is all a continual becoming.