The supposed Scott Walker - Bush family relationship is a staple of Illuminati conspiracy theorists, Left and Right.
If there is a relationship, it is distant enough to require specialist research and isn’t readily apparent. Go back far enough, and the Bush family is related to Obama via the Dunhams. They’re all Illuminati, I tell ya!
It’s a “staple” is it? I’ve never heard it before it entered my mind an hour ago. I spent way too much time in intelligence to believe in coincidence, but that’s me. Just because you call something a “conspiracy theory” doesn’t make it true or false. And how do you know how closely related they are? Are you a genealogist?