Take the bus to MK and then resort monorail to Poly (will be third stop - after CR and TTC) or the boat from the MK to the GF and Poly (it goes to the GF first, then the Poly, then back to MK).
If you're running late, take a cab! Bus will take 15-18 minutes once it leaves AKL and then it might take abother 15-20 from MK to Poly.
If by CM you meant Chef Mickey's breakfast, that is located at the Contemporary, not the Polynesian. The Polynesian's Ohana restaurant has Lilo & Stitch's Best Friends breakfast (one of their friends is Mickey so he does appear there). Please make sure you know which restaurant you need to get to!
If the OP means Chef Mickey's then I would say take the bus to the Magic Kingdom and from there use the walkway to the Contemporary.
However if they mean Ohana and Lilo & Stitch's Best Friends breakfast, then once again take the bus to the Magic Kingdom and take the Resort Monorail to the Polynesian.