To get to Cape May you need to take the bus to DHS; if you go to Epcot the bus drops you off at the front gate and you'd need to walk through the park and out the International Gateway (the 'side gate') to the BC - and Epcot won't be open at that hour of the morning so you can't cut through it.
Cape May Cafe to DHS is the farthest away you can be in the Epcot-area resorts. A walk that far, especially if you have kids, is not the best way to start a long day at Disney.
For an ADR that early I'd recommend a cab from your resort to the BC, then after breakfast take the boat from the BC/YC dock to DHS.