And in *my* home state, the doctor fills out their part of the form only AFTER you have gotten the form, and filled out your portion first; typically that's pretty easy (you download it from the state website) but then you have to mail the form, and a check for the fee ($5) to the state capitol, and wait 6 to 8 weeks for the hangtag to arrive. We have never done the license plates in my home state because they take as long, (6 to 8 weeks to process) and there is a higher added cost for the special plate, so I just stick with the hangtag.
*Some* states do have a "temporary" disabled placard that can be quicker to get - I think it's just *my* home state that thinks that a "temporary" placard/hangtag should take 6 to 8 weeks... by then, people with a broken leg, or who are healing from surgery, etc. typically don't need it anymore! (hmmm... maybe that's the strategy?)