See comments for further clarifcation.
Future U.S. Census surveys have "Middle Eastern or North African" as a distinct racial category from white and MENA individuals typically self-identify as non-white. Accordingly, to maintain consistency in this market's rulings, a MENA person will not be considered white unless there is public evidence that they consider themselves as such.
Did you have a specific candidate in mind?
Edit: So, in short, yes, barring some major public update.
The persons you provided as "YES" all appear to be a white man married to a woman, which will be taken as indication that they are straight, barring some public statement otherwise. Accordingly, yes, their selection as Kamala's VP pick would resolve this market "YES".
The persons you provided as "NO" all appear to be married to a member of the same sex, which will be taken as indication they are not straight and thus not a straight white man. Their selection would resolve this market "NO". (Again, barring some public statement otherwise.)
A woman or a person or color VP pick will also resolve as "NO" as they would be either non-male and/or non-white.
Good question.
For the purposes of this market, I will consider Josh Shapiro white unless he comes out with a public statement identifying otherwise. The vast majority of Jewish Americans identify as white and this appears to be their contemporary race classification.