I don't think so. I had tow: mycobacterium Avium Intracellulare (TB) and mycobacterium Gordoni. They were both dealt with Rifampicin and Clarithomycin ( I hope they are the same drugs and in teh US - or perhaps another name; justnot aware of the American drugs names). So I don't think it will be resistant. it just takes a long time to get rid of.
Still you can check this with your doctor as he knows best. I don't know if doctors use Mims to check teh drugs, but in that publication they would have the name of the drugs that treat both conditions.
Here is what I found on Radio pedia:
Mycobacterium avium and Mycobacterium intracellulare are now considered together, and referred to as Mycobacterium avium complex (MAC) or Mycobaverium avium-intracellulare. They cannot be distinguished on the grounds of human pathologic manifestation or imaging features, and are treated similarly, although M. avium has a predilection for chickens where as M. intracellulare prefers rabbits 2-3."
Here's the reference so you can read teh whole lot.:
Hope this calms your fears.