We did both last trip and it will be a long, long, long time before we ever go back to Chef Mickey's but we loved Cape May Cafe.
CM's was a mess, chaotic, the food was horrid, the service was inattentive (as in DH had to go find our server to get drink refills), the characters were super rushed, Mickey skipped our table...it was our first breakfast of our trip and I was honestly second questioning eating another meal on property.
CMC on the other hand was clean, relaxing, quiet, calm, the servers were very attentive and helpful, the food was fabulous, the characters made it around twice each morning we ate there, the characters spent a lot of time at each table and were so much fun...it was honestly the best breakfast we had all week.
So for us, it would be CMC hands down.