Okay, about Egghead. We can safely say this arc is exploring themes of faith and science, how they clash and coexist in many ways, i.e. Vegapunk's technology which supposedly represents the future actually comes from the past. What's especially interesting is how this connects to Kuma.
Kuma is a man made into a machine. He is the poster-boy of Vegapunk's genius and the government's technological superiority in the form of Pacifistas. He is considered a weapon, not a person, and all his remaining personality was supposedly stripped after Sabaody. And yet, during Egghead he has rejected his programming and chases after some unknown goal. Why and how?
Well now we know: Faith in Nika.
Chapter 1095 doesn't just reveal Kuma's past but his beliefs. His dream to become a freedom fighter comes from his deep faith in the sun god Nika, a representation of freedom. This has been teased since his introduction (chapter 233!!!) with the bible, but he isn't Christian- Kuma's bible is a general symbol of his faith in Nika, the one thing keeping him from losing his humanity.
Tying this to the Straw Hats, Luffy is now revealed to be Nika. His dream of becoming Pirate King (and probably his mysterious second dream) is about becoming free and giving others freedom. This is true of all the Straw Hats as their belief/faith in achieving their impossible dreams keeps them going.
I think Kuma is the link to the Straw Hats allying with the revolutionary army to target the world government. With the arrival of Saturn, Bonney's connection to Kuma, Kuma's connection to Sabo/Ivankov/Dragon, it all seems inevitable. Once Kuma learns Luffy is Nika, he may straight up worship Luffy, and once Luffy understands Bonney and Kuma's dreams/lack of freedom, he may just have to throw hands with the WG for his new friend.