Cuban Kenpo has it right . Muay Thai and Kickboxing are about as different as night and day. Muay Thai is a hand to hand Martial Art that evolved fromthe unarmed aspects of the Thailand from fight art known as Krabi Krabong.Kickboxing evolved from mixing in the kicks are various Martial Arts (primarly Karate, Taekwondo , Kung Fu with some Muay Thai) and Western Style boxing.
Most Kickboxing matches are above the waist only. They have, however, become more liberal with this and are starting to allow leg kicks. Kickboxing rules state you must throw a minimum of 5 kicks per round. Unfortunately this facilitates a mostly boxing type of fight. Muay Thai tends to use every weapon equally. The reason I love MT-"I know you wont break the rules.......Their aren't any."