IANAL but I don't think it'd be blocked for that reason: "Right of publicity" is a per-state affair, where it exists it may not be posthumous, where it is posthumous it may not include historical figures, and even if it could apply, there's there's no credible estate/heir of Jesus Christ with standing.
... But I gotta admit it would be amusing to watch someone try to fill that role.
As an example, see Pirone v. MacMillan [0], where there was no posthumous "right of publicity" for Babe Ruth's daughter to draw upon. (At least, not back then.)
[0] https://law.justia.com/cases/federal/appellate-courts/F2/894...