I'm not a medical professional, but I doubt your husband needs medication so much as he needs a moment of clarity about what his poor adaptation to life -- passive aggressiveness -- has cost him: his marriage, a loving relationship with his children, and no doubt a happy state of mind. Because you have small children you might suggest family therapy -- maybe it could be a condition of the divorce -- and if I were you, I'd listen to the children very carefully about their interactions with Dad; passive aggressives look for the next weakest person to dump their anger on, but it might be subtle and you don't want the children growing up harboring the idea "dad doesn't love me because I did/didn't do/can't do/ this [insert other unbalanced reason why passive aggressive people act the way they do]"
You're no doubt aware passive aggressives can and will wait for an opportunity to 'pay back' whoever is on their list of victims (they see scores that are not there and settle them inappropriately). So even though there is no communication between you two now, be aware he might have plenty to say at the time of divorce.
You have my sympathy.