Why didn't Michael remarry?

Two wives is enough for any man, maybe he just wanted to be able to eat takeout food in front of the TV and sleep in on Sundays without getting nagged.

but seriously - wasn't the inclusion of Kay in 3 a big studio-hollywood-political thing? Like FFC didn't want her but the studio did? Maybe if he'd had is way and Kay hadn't featured, we would have seen a new Mrs Corleone. The danger is that she would have been the "Lady MacBeth" character that Connie transmorgified into in 3.