Even when I was a kid, I hated the Speedway. I think we did it because my parents thought we wanted to...and we just didn't have the gall to complain at Disney World for fear that Dad would get fed up and leave :lol:
It doesn't fit because there's nothing magical about it. It's ugly and sounds like 50 poorly maintained lawnmowers running around Tomorrowland. There are several old amusement parks around the country that offer old fashion car driving rides like this, and many of the larger carnivals that setup at State Fairs have them too. There's also a go-cart track within driving distance of many locations throughout the US. If a kid wants to "drive" a car, there are lot of opportunities other than Disney World.
I have honestly never heard the Tomorrowland Speedway (or whatever it's officially called these days) referred to as a "classic" attraction. Nobody hears Disney World and thinks of the rail-guided sputtering cars. They'll think of 10,000 other things before they think of the speedway. I also haven't come across any fan-boy pages dedicated to it (but now that I've said that, I'm sure people will post 50 links to such pages), like I have for 20k, Peter Pan, Snow White, Toad, etc.
There's nothing Disney about it. But if the majority really thinks getting rid of it would be as traumatic as losing 20k, Toad, Horizons or World of Motion, maybe they could push for an improvement like electric (i.e. silent and odorless) cars. I'd make that compromise.