(forgot to add that I am a AP holder, but my mom and my husband are not, and they are usually the drivers. We have never had to present my AP)
Now, not to get into the great parking debate,

but......
Four things:
1. Get there early and stay all day at the MK, thus being able to park, no worries.
2. You know the time at which you have an ADR, valet at a resort and then take the 'rail to the MK, eat and leave after eating. (just don't TELL the gate person that that is what you are doing. Often times, they don't even ask)
3. Park at Epcot and ride the rail to MK
4. Take the bus from your resort (assuming you are at a Disney hotel) and get to the MK.
I think those are the best options, pick what you want.