As asked.
Who would the family back?
It isn’t like they are Peaky Blinders, the “Family” is now all cousins since JFK’s generation has all passed. There is no more matriarch, Caroline Kennedy has avoided that role, as has Maria Shriver.
I doubt it. I doubt that the family, what’s left of it, would divide itself that way. Family loyalty may be blind, but it isn’t mindless.