Is that diagram showing TWO islands?

Angie - yes, it looks like two islands in the current layout.

Hi Kathie - I would change this to a standard L+island instead of a U + 2 islands (as it is now). So, here are my suggestions:

1. Leave the fridge and range where they are on left wall
2. Get rid of the right wall of cabinetry entirely.
3. Put the ovens all the way to the right on the bottom wall.
4. Move DW between sink and oven. Or, if you are a big baker, you can leave the DW where it is and instead lower the counter between sink and ovens to be 30" high, which I am told is good for rolling out dough.
5. Put island with prep sink, long side facing the range/fridge wall. Have the bottom-most cabinet in the island be a 24" side set of drawers that faces downward - that will help your dish storage situation. Put a 15" overhang for seating on the top and right sides of that island, or 12" deep cabinets there if you don't want seating. I would probably put the prep sink at the top of the island to allow access to a sink to folks from the DR and create a secondary prep zone at the top part of the island.
6. You also have room for 10" deep tall pantry cabinets along the right wall if you so wish. A shallow pantry holds a lot and is much better than a deeper one since you are easily able to see what you have and nothing gets lost in the back of it. Cindyandmocha's finished kitchen has a great one.
7. This is a strictly aesthetic choice, but I feel your kitchen is very top-heavy with upper cabinetry. Only you can say if you need all that storage. What I would consider is putting in a triple window that will echo the windows (doors?) in the dining room. I would also take the window down to the counter as it's a beautiful look and really brings the outdoors in. Here is a link with some great pics.

You have a big family, so the above layout is good in that it gives you four potential prep zones (either side of the prep sink, plus either side of the cleanup sink) for any kitchen helpers. It also leaves you 48" aisles on both sides of the island which is the NKBA recommended minimum for more than one cook, as well as seating for any one who would like to hang out.