Trips to the supermarket, yes, it's right outside the gates of their community. J$ school, no, it's about 5 miles away. If J$ went to public kindergarten, it would be close enough to golf cart there.
A lot of people in certain areas of Florida do have golf carts. Both of the communities that I have lived in, more people had them than did not. Most people here use them to drive to the pool/tennis court/gym complex. They use them to visit friends in the neighborhood or close by neighborhoods, go to the parks, pick kids up at the bus stop. Our elementary and middle school are close enough to pick up in golf carts, but high school kids do drive golf carts if they are close enough. At our last place, there was this woman who drove to the dog park with her two labs 3-4 times a day. My dog would see here her coming and run out to her to hitch a ride. I was just at Publix and there were 4 in the parking lot, which annoyed me because I thought I got a spot twice and it was golf cart both times and had to drive around.