Chef Mickey's isn't in the Magic Kingdom.
I know that they offer some mixed drinks and I'm sure they must offer some wine selections but I would be very surprised if it's extensive. You might be better off bringing your own and paying a corkage fee.
EDITED TO ADD: I just checked the WDW resort site and there is an icon on the Chef Mickey's page that indicates they accept the wine plan there, so I think it's reasonable to assume that you can order a bottle of wine when you have dinner there. I'd suggest you look up the dining plan / wine plan information and see if the wine choices are listed there.