How was it that Kay was happy to enjoy the spoils of the unholy and evil Sicilian thing for five years, the time frame for legitimacy

In fairness to Kay,
1. The bedroom shooting would have spooked and unnerved anyone
2. At the senate hearing, judging from Kay's reaction in the background, she probably figured out – made the connection when Michael suddenly disappeared - that Michael was personally responsible for the murder of McCluskey and Sollozzo

It seems Michael and Kay's marriage was already in trouble as evident from Michael's talk with Mama Corleone about losing the family

It was surreal when Michael returned home from Cuba, Kay was at the sewing machine but knew Michael was back, had nothing to say to each other especially after such traumatic events

The way Michael protected Kay during the bedroom shooting was indeed incredible

Perhaps Michael could [should] have handled differently

1. Killing his own brother Fredo
2. Michael not comforting his wife who just had a miscarriage
3. Perhaps if Michael had the same “losing the family” talk with Kay......second chance at their marriage
4. The treatment of Tom the only person Michael could trust even though Tom was not the most competent consigliere!
5. Hanging Frankie Pentangeli out to dry
6. Not taking care of the 'dead' capo Frankie's family