Y'know what? I want in on this here club!
The dream is alive and is guaranteed to stay alive for the duration of the flashbacks!
Judging by the most recent chapter 1096, which portrays the themes of rebelling against slavery and the oppressive WG that treats people like animals for hunting, it's clear Kizaru rebelling fits in with that very theme.
Next chapter I am guessing will also be a flashback and we might get to see how Kizaru and Kuma know of each other and any discussions they might have had. Quite certain now of this as we continue to follow with Kuma's life, it will obviously show us his role in the marines in much greater detail.