For the record, not every member of Black Guerilla Family for instance looks like 'some dirty fucking crack head gang member'. The more organized gangs also have their members who dress smart.
Tony Accardo...you're mentioning a high-level member of the Outfit here, not a lower soldier or associate. By the way, if you think that every Italian mobster looks as stylish as you can see in those ignorant Hollywood-movies, then I urge you to check out some of the charts on this board. Take the one of the Chicago Outfit for instance, some of them look pretty dirty to me.
Would I invite a criminal in my house ? If I have known the guy for a long time, why wouldn't I ? They're part of our society, wheter you like it or not.