Daidojuku was originally a form of full contact Karate which allow striking to the head using head protector founded by Azuma Takashi in 1981. Later, the style in-coporate Judo to develop into a form fighting which involve striking, take-down and submission. It is now known as Kudo (a combination of Karate / Judo). Not like Mixed Martial Art (MMA) which is only a event, Kudo is a Japanese Martial Art style.
Developed from Judo, BJJ has evolved into a unique form of Martial Art which emphasize on pure ground fighting. Introduced by the Gracie family to the World as an extremely hard core and effective fighting system. It is now practiced by many people around the World. It has now turned into an extremely sport orientated Martial Sport.
Karate is a system of fighting which originated on the island of Okinawa. In 1915 Chojun Miyagi went to Shaolin Temple in China, he returned to Okinawa in 1917 to open a dojo and named his style Goju ryu (hard/soft). Kata Sanchin is one of the oldest form originated from China, which is also the backbone of Goju-ryu. Many other Karate styles also included Sanchin into their system.
Better known as Thai Boxing is a form of Martial Art originated in Thailand. Muaythai is famous for its elbow and knee strikes. Along with BJJ, it is a style you must study to become an all-around Martial Artist.