Republicans mostly think they're FFs, Democrats mostly think they're HPs. Who would've guessed!?
I'll make the crazy prediction that if you were to ask about Republican primary voters who backed Clinton in the GE, most blue avatars would think they're HPs, and most red avatars would call them FFs.
Basically, it goes like this:
Party A voter backs Party B candidate.
Party A: Traitor! Idiot! Not a real Party A voter!
Party B: WOOHOO! What a great, principled person! This incontrovertibly proves our candidate is better!
Anyway, I'd say that Democrats should definitely try to reach out to and understand these voters, though it does seem clear to me that these voters do not have a coherent ideology (unless they're single issue trade voters, or something.)