So far, I dig on the idea, though I was avoiding setting identities in stone, more setting approximate roles to fit the faces, filtered by suit.
Kings are obviously patriarchy figures in charge, Queens the matriarchal figure, Jacks should be someone who would answer to either the King, Queen, or possibly both. Aces however are incredibly powerful Lone Wolves as much a part and apart from the hierarchy. To go with the examples already given, the Jack of Hearts is the King's Go-To guy for ideas, as well as the Queen's favorite assistant, something of a direct underling to both but in different capacity, even a bit of a go-between for them. By contrast, the Ace is the Agent - extraordinary Talent Scout, with his own agenda. He could, in theory, charm the daughter of the city's MAYOR into doing porn or venturing into prostitution, if he wanted to, but his own plots are never, EVER in the open. Maybe he does what he does for the lulz, maybe he hates everyone and does it to ruin people he doesn't like, but he's charisma and flirtation and white hot danger, and even the King and Queen are wary of him.
Clubs are crime families, of course, with a special mechanic in mnd to my thinking. After the hand of course is set up, a random card is drawn which determines WHICH family, based on >>9179510 or >>9167866.
Kings, as mentioned, as the Patriarchs, Queens as their spouse or another high ranking female, the Jack as the immediate 2IC. Aces would be either a Major Head from out of town but part of the same Family, or the chief Enforcer from within the Family in that town.