Beaches and Cream at the Beach Club is great for kids - who can resist burgers and ice cream? - but they do not take ADRs. Walk-ups only. (They do take DDP TS credits.)
We like the Captain's Grill at the Yacht Club for dinner as well - steaks, chops, crab legs, etc. They have a fairly standard kids' menu, but my littlest travel buddies like the brownie-marshmallow shish kebabs for dessert.
We're planning on trying Big River Grill on the boardwalk so we can sit out on the boardwalk and also have a beer. Haven't eaten there yet. You could also try the Cape May clam bake at the Beach Club.