I'm very allergic to mold, among other things (all airborne, no food allergies). I also adore sourdough bread. If I were to make my own sourdough starter so I could bake sourdough regularly, would it a) be similar enough to mold to set off my allergies, or b) be likelier to attract mold than anything else in my kitchen?  
No.  Sourdough culture is not a mold.  Even when the surface of your sourdough gets moldy (per Adam, above) to get moldy, it's not the kind of mold which releases spores into the air.  I speak as a severe allergy sufferer. 