How come nobody’s ever related to Benedict Arnold or John Wilkes Boothe? ;>)
I'm not sure how that would make us related to Sarah Palin, since her great-grandmother was a Strong, descended from Hale's mother's side. You would definitely be a cousin since John Strong is in your direct line too, but he isn't in mine (as far as I know).
Anyway, nice to meet you, cousin, and best of luck to your cousin and my cousin-in-law Mrs. Palin.