I know of at least one Quarter resident who OCs from time to time. He is also a member here, but rarely posts. estrch is his screen name IIRC.
He actually had an incident where he fired his weappon to stop an armed robbery in the Quarter. Maj. Hosli, who commands the NOPD district that covers the Quarter, was a bit hostile to this guy (and he back, I might add) over citizens being armed in public. It took awhile for estrch to get his gun back from NOPD - longer, in fact, than the perp was in jail.
After my letter to Supt. Riley concerning the incident at my house, I went to a NOPAC meeting in November of 2008 where the lieutenant who ran the meeting in place of Maj. Hosli acknowedged to estrchthat OC was legal, but he expressed a similar disdain for it that most LEO have; and he expressed the legitimate concerns that all gun owners ought to consider when they decide to carry a firearm either OC or CC concerning knowledge of applicable laws on use of force, any repercussions from actually using the weapon, and many other items we have seen discussed here and elsewhere.
But overall, I believe that nolacopusmc is correct in saying that appearance and attitude can go a long way in the determination of whether or not MOST LEO will stop an OCer.