Most of this thread is about bums, drunks, and hookers so I addressed those.
The 100 block of Rue Chartres won't work for bikers -- there no place to park. I've never seen pushers, street fights, or gang activities in the area either. Maybe someone else has. Maybe I don't stay out late enough.
The 100 block of Rue Chartres, where Quarter House is located, is pretty tame as far what happens in the street or on the sidewalk. Quarter House, Sneaky Pete's, Evelyn's, The Jimani, Daisy Duke's, Jimmy J's, the pizza joint, the adult toy store in the block won't tolerate activities that take away from their business.
I'm not about to say there is no crime in the French Quarter. I will say that the "entertainment section" of the French Quarter, especially the first few blocks of Bourbon Street off Canal, is one of the most heavily-policed areas in the country.
Don't let negative fantasies keep you from staying at Quarter House.