= new reply since forum marked as read
Seriously, it's not all seeing eye dogs. When I was a member of the Campbell Chamber of Commerce, the local yuppies had their undies in a bunch because they couldn't bring their dogs to the downtown farmers market.
Dogs are like screaming kids in restaurants. They do not have to be taken EVERYWHERE. They do not have to be shared with EVERYONE.
Where I live (Everett, WA) it seems like everyone (and I know it's not everyone, it just seems like it!) brings Fido into the grocery store. Then they pitch a fit when asked to remove the dog! The Health Department ought to be there to give out warnings........... 
And, I never would do so or elsewhere that dogs are not allowed. That said, your discussion of the pet allergy issue is grossly disproprotionate, given that the overwhelming majority of actual severe human allergies are not to dogs, but to other environmental allergens, including dust mites, pollen, etc. and cat dander. Despite notions and long held assumptions to the contrary, few people have dogs as their primary and most severe allergy trigger. Even then, to suggest such casual exposure to be a trigger would suggest a situation severe enough that we would have to ban people from walking through the mall (or elsewhere in public) with their cat hair and dander-laden clothing--which of course is ridiculous.
While, I can appreciate your irritation that some people try to break the rules with their dogs by bringing their little mini breeds inside a carreier of some type, why the k'niption fit overall about dogs out in public? This is your second rant about them. What really is your issue? 
as in your case. You just underscored my point. Unfortunately, the notion that dogs are likely to be a PRIMARY allergen has been propagated so long that it is hard to dispel--even with some Primary Care Docs, not well trained in the area. This issue is not whether there are some people who have confirmed allergies to dogs (though those with a primary allergy to dogs, to the exclusion of other environmental antigens) is exceedingly rare..
You simply confirmed what I was saying. Becoming obsessive about casual and non-contact exposure to dogs, even if you did have a low level allergy is no more sensical than thinking the world can protect you from dust mites, pollen, cat dander or anything else. Are you going to sue the friend whose house is not free of dust mites, or low level chemical residues? Or has latex gloves or peanuts in their cupboard? Each of these are far more likely than a casual distant exposure to a dog to trigger a very serious attack among those with serious allergies to those antigens. The oneness is sort of on the individual with that kind and level of allergy to avoid and seek desensitization therapy. Or live in a bubble. Not trying to be unsympathetic, because I am both personally and professional very aware of the issues. But there are necessary interventions to protect even the minority of people and then there are those that have no practical or evidence-based justification. When we remove all dogs from the world for those who are far more antagonistic about the issue than you, will we next go after the wild ducks and geese, cats, rabbits, squirrels and the like--all which might trigger some kind of reaction in some one (or at least they think they do)?
You ended by asking "would it become ok to expose me, because its not my "primary and severe" allergy, because it might only cause me discomfort and not death? " The fact is that no one has the right to send their dog uninvited up into your lap, your face, your personal space. Just walking along the same section of a mall ten feet, twelve feet, 15 feet away is NOT sufficient to trigger an allergy. Close containment for extended periods of time with physical contact in a small space--sure. That is hardly what happens when you casually walk past a dog with its owner. I think physicians of patients with allergies have really got to do better job educating on this point. Having said that, I think you do understand this from the way you described in your own post, but if not, I hope I have reassured you, or at least given you some questions to ask of your own allergy specialist.
That's all I've got. Anything else would be sent to a jury.
This is not one of those times...
in ladies' purses, and one in a stroller. 
I don't understand why they don't just leave it at home.
bug the crap out of the easily annoyed.
