We would like to still have a place for a couple small stools at the counter.

Take the old kitchen out in one piece and sell it (or give it away), there's people out there who love this style.

If you could draw a floor plan where we can see the entire kitchen at one glance we could help you better.

consider: posting a floorplan sketch so we can see adjacent room relation. combine oven and range-then leave where cooktop is now to take advantage of hood/vent placement and that opens up counter where ovens are. or combine double ovens with refrigerator; can you recess frig into that wall?if not, frig should really move out of that circulation
close off doorway next to ovens to gain counter space, a corner, and room for base cabs under window.
or move frig next to double ovens while closing off that same door (where does it go?-dining?) frig then on end, and kitchen becomes galley. with maybe room for island (rolling?) on that end under window. or does it make sense to close off the double opening on that back wall instead? where does it go?

It is a very odd layout. The door by the wall oven goes to a laundry/utility room and is the only access to that room. I agree, the refrigerator absolutely cannot stay where it is - it seems like it is sitting in the middle of the family room. The other opening, to the right of the cooktop, is to a dining room. I'll try to sketch the layout this evening to give a better idea of the whole layout.

to the right of cooktop, looks like a hallway before you get to dining; be sure to indicate if that's full hall and what is behind wall at ovens/cooktop