I hate them because I am short. I always feel that I am going to fall off those high stools. The chairs are so high that I have to JUMP down.

Being strictly practical, I stand at my counter, and then relax and sit at my dining table, with my feet touching the floor.
Personally, I would get someone in there with a saw and a level and lower the dining table and chairs, you certainly don't have to purchase new.

This type of set is hell for shorter people, older people, and anyone with weak or bad knees. When it comes to furnishings, function as opposed to form warrants much more consideration than it usually gets. As previously said, cutting the legs down to size is a practical solution. If you want to maintain some semblance of 'distinctive' form in your dining area, and fill the empty space above the table, look for a distinctive vase or bowl in which to create a striking floral arrangement. Perhaps a decorative bowl with a floral "frog" in it to hold a tall branch or single stem, with smaller floral or wood pieces arranged to hide the hardware. Alternatively, if there isn't a light fixture above the table, one might help with your design aspirations...perhaps a mobile, or create a table centerpiece of varying height candles.