If you're president and you're incapacitated for hours or even days because of health issues, it's problematic. I don't know if President Bachmann (yes, I know that will probably never be the case) could make fast and important decisions during one of these migraine attacks, and being able to do that whenever it is necessary is essential if you're president.
As opposed to FDR and JFK?
I fortunately can't say whether it's worse to suffer from regular migraine attacks that take up to one or two days than from chronic back problems or being in a wheelchair. My point is that such severe migraine attacks can potentially be a problem if you've got to take immediate decisions as a president, especially since, as has been pointed out in a previous post, being president is a mind job. But then again, I have no clue how severe Bachmann's migraine is and to what extent it incapacitates her.