As the title says, I would like a feature where you can invite players to do an organised crime with.

For instance you can choose between a 2/3/4 player crime.

For players, not cartel.

So in theory I would be able to invite Hugeackman (Ravage) and A_Merchant (CS) for an organized crime (Sorry for using names)

This is, in my opinion, is not supposed to be limited to cartels only. 

Would increase player interaction and have a new feature in the game.

Did Iejen tell you to post this because he has none to talk to in his cartel?! 

Yes please