Eddie, I'm not sure about your perceptions. For one, Anthony does take his time about walking over to his mother and he doesn't hug her. For two, Kay is already out the door when Michael shows up. There's no 30 seconds possible.
As I posted above, it's simple. Michael had custody of the kids and he probably led them to believe that their mother didn't love them or something similar. A custodial parent will sometimes do that depending on their level of avarice in an attempt to get back at the other parent. When Anthony grows up, matures, and begins to realize who his father is and what his father has done, he restores his relationship with his mother as it was meant to be. It's not a reconciliation; Anthony relaizes that he has been led astray.