Can I get the Disney Dining Plan with Disney tickets that were bought with a military discount, if I'm staying at a Disney Resort?
Yes, but you must be staying at a Disney Resort to get the Dining Plan -- this does not include the Disney military resort, Shades of Green -- it must be one of the other Disney Resorts.
The military discount tickets will not be included in your package (and you must book a "package" to get the Disney Dining Plan), but your package will include your discounted resort room and the Disney Dining Plan. You can book the military discounted packages directly through Disney or a travel agent that specializes in planning Disney vacations. Your tickets must be picked up at any Guest Relations window at the front entrance to any of the Disney World theme parks.