You can get an exemption letter from your vet. Fil threw up and was lethargic after his and I would have freaked if he had a reaction like Mindy's! The only reason I do the rabies is there is a slight chance they could get bit by an infected bat, coyote etc. If I was in a safe area I wouldn't. Just my two cents.
Anyway here is the Wisconsin law:
49. WISCONSIN (WITH medical exemption)
Wisconsin Statutes §95.21 Rabies control program.
95.21(2) (2) Rabies vaccination required for dogs.
(a) Requirement for vaccination. Except as provided in s. 174.054 or sub. (9) (d), the owner of a dog shall have the dog vaccinated against rabies by a veterinarian or, if a veterinarian is physically present at the location the vaccine is administered, by a veterinary technician, pursuant to s. 453.05 (2) (d), at no later than 5 months of age and revaccinated within one year after the initial vaccination. If the owner obtains the dog or brings the dog into this state after the dog has reached 5 months of age, the owner shall have the dog vaccinated against rabies within 30 days after the dog is obtained or brought into the state unless the dog has been vaccinated as evidenced by a current certificate of rabies vaccination from this state or another state. The owner of a dog shall have the dog revaccinated against rabies by a veterinarian or, if a veterinarian is physically present at the location the vaccine is administered, by a veterinary technician, pursuant to s. 453.05 (2) (d), before the date that the immunization expires as stated on the certificate of vaccination or, if no date is specified, within 3 years after the previous vaccination.
http://www.legis.state.wi.us/statutes/Stat0095.pdf
(d) A city, village, or town may exempt the owner of a dog from the requirement to have the dog vaccinated against rabies for a year based on a letter from a veterinarian stating that vaccination
is inadvisable because of a reaction to a previous vaccination, a physical condition, or a regimen of therapy that the dog is undergoing. The city, village, or town shall require the owner to providea new letter for each year in which the owner seeks an exemption under this paragraph.