Nah, horse racing is racing horses. The English are very fond of it.
Equestrian is that fancy shit at the Olympics. One step, two step, mortified looking horse puts a hoof up in the air, and so on. The horses do all the work, then the horse rider gets the gold medal. They'd thus go in the Olympics thread.
It's allegedly art, while the former is racing.
It's all bollocks to me, but they are different.