I think only one of them or two of them will mess with that kinda thing. But to be honest I love the car theft missions. It is GRAND THEFT AUTO... Not destruction derby soap opera.
I think the urban dude will be the one hustling for cars. I can't see the dude with the family hustling cars. But who knows.
I hope they make comments about the cars when they get in them occasionally... That is one thing I didn't like about the other games, your character never talked much about the ride when they first get in or on it.