While the Empire tends to shun non-human species, the Jedi embrace all beings with a connection to the Force. Although taking children from their families at a young age and indoctrinating them sounds like something the First Order would do. At any rate, this female dragon Jedi by B&W Bricks is a fantastic LEGO model, with dynamic limbs and a graceful pose, this warrior looks like she could give a Trandoshan slaver a sound beat-down.
Well, people could LEAVE the Jedi Order if they so desired and not have an assassination squad sent after them as a result. Besides, imagine the trouble that might result from a bunch of beings who are basically super-powered running around with no guidance or training.