That seems very location dependent.
Anyway, unless you're constantly carrying around dogs or have unusually severe allergies, this seems like a minor irritant.
https://www.aaaai.org/ask-the-expert/dog-anaphylaxis
https://www.anaphylaxis.org.uk/wp-content/uploads/2015/06/Al...
"In a small number of cases, particularly among asthma sufferers, there can be the risk of a severe asthma attack, and there have been very occasional reports of the most severe, lifethreatening form of allergy (anaphylaxis). "
"You may also be advised to use a preventer (steroid) inhaler and nasal spray starting the day before any unavoidable exposure, for example a planned visit to a home where you know there is a cat. As stated above, if your doctor believes your symptoms could be very severe, you are likely to be prescribed adrenaline (also known as epinephrine) The adrenaline injectors prescribed in the UK at present are Emerade®, EpiPen® and Jext®."
Pets and the like are not protected under the ADA.
Service Animal Defined by Title II and Title III of the ADA. A service animal means any dog that is individually trained to do work or perform tasks for the benefit of an individual with a disability, including a physical, sensory, psychiatric, intellectual, or other mental disability.
The key here is 'do work or perform tasks'. As a driver, you can ask "What work or task is this animal individually trained for." Their answer will allow you to determine if the animal is considered a 'service animal' under the ADA.
> https://accessibility.uber.com/service-animal-policy/
I interpret this as "if you don't want dogs in your car and don't want to be near dogs, don't become an uber driver in the first place".
People have a choice whether or not to work for uber... If you have a religious phobia of dogs or legitimate allergy there are lots of possible choices of work where you have an extremely slim chance of ever encountering a dog.
Q: I operate a private taxicab and I don't want animals in my taxi; they smell, shed hair and sometimes have "accidents." Am I violating the ADA if I refuse to pick up someone with a service animal?
A: Yes. Taxicab companies may not refuse to provide services to individuals with disabilities. Private taxicab companies are also prohibited from charging higher fares or fees for transporting individuals with disabilities and their service animals than they charge to other persons for the same or equivalent service.
"A driver-partner CANNOT lawfully deny service to riders with service animals because of allergies, religious objections, or a generalized fear of animals."
https://accessibility.uber.com/service-animal-policy/