You can take a bus from the front of MGM, or take the boat to Epcot, walk to the front, get on the monorail, transfer at the TTC to the resorts one, Polynesian is the next stop.
Disney provides buses, that would be the easiest and fastest transportation other than driving your personal vehicle. Even with a car it may take just as long as you would have to wait on the tram or walk back to the parking lot.
You could...(if you have park hoppers) walk or catch the friendship boat at DHS ride to Internation Gateway at EPCOT walk to the front of the park and catch the EPCOT Monorail over to TTC then walk or catch the Resort Monorail to the Poly.
Going by bus, you might want to start there about 45 minutes prior to your ADR. If you are going to take the boat, go through Epcot and then the monorail, I would give myself closer to an hour and a half. The boat trip alone is going to be about 20 minutes just from Hollywood Studios to Epcot.
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