Lol. Let's not get ahead of ourselves here. Having done Crossfit for a number of years as an adjunct to BJJ training, the vagueness of your claims is a little obfuscating.
Crossfit will help your anaerobic conditioning over durations of around 4-20 minutes. A little bit of aerobic work. Depending upon how strong you are right now, your strength may improve or decline. Doing thrusters with 95 pounds or repping out 135lb C&Js does NOT make you a badass. It will likely be helpful for Muay Thai (for the OP) if your conditioning is lacking, but for FUCK'S SAKE, STOP CLAIMING IT WILL MAKE YOU SOME SORT OF FIREBREATHING ASSKICKER.
Christ. I used to like CF and the community, but as it grows and its claims grow ever more preposterous, I like it less and less.