I've done that. Just got too close to an NCR patrol and lost rep for defending myself.
Sorry this fixed it for me, did you try all faction armours not just one?
If it's the same bug it has to be the same faction type armour.
I.e if you wore CL armour took it off and the bug happened, putting on NCR armour and taking it off won't help.
When mine popped up I wore NCR armour, I tried talking to CL in recruit armour but when spotted they turned hostile.
Untill I warped out, killed a N?CR trooper wore his armour took it off and headed back.
Sorry I can't help anymore as this has only happened the once for me, I wish you luck.
If you've not got a save before talking to House and killed some NCR members since it won't work either, you need to load up before House.