The Father of Make Believe

I've been a Coheed and Cambrian fan for a couple of years. So, I'm a little bit of a noob to the lore of the band. I really like their sound and the lyrics really intrigue me and hold weight compared to other bands and songs I listen to. I am aware that their albums center around Claudio's comic books. Which I think is a pretty cool idea and concept.

Is The Father of Make Believe revisiting the the The Afterman and the Keywork? Are Vaxis and The Father of Make Believe connected?