Thanks for the helpful comments. I found a contact to the veterinary clinic in Doha and they said there would be no problem importing my dogs as long as I go through the proper procedures. I never leave my dogs alone or off leash now (except in our backyard with an 8' privacy fence) and I definitely won't do it in Qatar either. They are such loving sweet dogs they would be a sore disappointment to anyone looking for a fighting dog anyway. :)

It sounds like people tend to be a bit misinformed about these dogs in Qatar (probably because of the ban in Qatar and subsequent lack of experience with these dogs when they are normally raised by the general populace and not by unscrupulous characters). Pitbulls were never even bred to be aggressive to humans until very recent years, originally they were bred to kill rats and then later, to fight other dogs. At the same time they were in fact bred to be very NON human aggressive, because how can you patch up your prize fighing wounded dog if he is aggressive towards you? In fact the dog in the old show the Little Rascals was a pitbull, who were known to be very good with children. Nowadays they are portrayed as bloodthirsty human aggressive animals but the truth is in fact completely the opposite, unless they have been misbred, abused, or otherwise warped in their experiences. Because of their strength and tenacity people have misused them for their own purposes and given them a bad name. I have had many dogs so far in my life and I can say without a doubt that these two pitbulls are the most friendly and sociable dogs (with humans) I have ever had experience with. They not only tolerate people including strangers, they absolutely love them. It is true that they can be aggressive towards other dogs and won't usually walk away if another dog picks a fight, but towards humans I've never seen any dogs that have a better temperament than these two do.

If a pitbull is the least bit aggressive towards humans, it has either been trained to be that way by the owner, or has been intentionally misbred, because human aggression is actually extremely RARE in this breed.