It would be an uphill climb.
LEO's open carry in civilian clothes all the time. They hang a badge next to the gun and that is supposed to ID them enough. These days though, when the FDA meat inspectors and the Fire Chiefs building inspectors and city lawyers all pack openly, it's hard to make a case for the peasants not having the same opportunity. Heck, just issue some badges to unwashed scum.
I'd like to open carry. Sounds fun. Smells like freedom.
Story in the Dallas paper today. Petition here. No chance in hell of getting someone to carry a bill this session. One thing Alice mentioned- when this is rolling around the legislature it gives the anti-gun folks something to concentrate on and keeps them from doing real damage. That might be worth the fight right there.
Update: Jeff at Alphecca is talking about it as well.
Update II: Jacquelline Floyd wrote her column about this in the Dallas Morning News but I can't find a link yet. Hard to tell if she was for or against.