The reason for organized crime to support a union is two-fold:
Sigh. You identify as a conservative Democrat, so let me remind you: The reason for organized crime to support a union is to get "competent yet loyal" people hired, so the job gets done, and with a tidy profit! Any non-blind football fan can attest the "job" is not getting "done".
extract money directly, and place personnel who will (ideally, not obviously) call matches so that the gambling odds favor the house
Union dues extract money directly. Any good mafia who used peons for their labour jobs in the context of the NFL, would insert the best.goddamn.truck drivers available. Trust my anecdote, gerry: i work with teamsters on a daily basis--I've nearly been run over by several of them. If I were the mafia boss and "hiring" NFL employees, I would demand quality and discretion.
and place personnel who will (ideally, not obviously) call matches so that the gambling odds favor the house. Yeah, me too. Here's a thing! This book. Did you read it? If not, read some reviews and get back to me about how organized gangster-style capitalism contrasts with your apple-pie-with-milk political ideal.
If a failure of #2 presents an external opportunity to increase #1, so be it.
Apparently The Mafia and Roger "I'm wearing my daddy's coat to church and its 3 sizes to big" Goodell backed down from your conclusion. OR DID HE?