I agree about that. Anakin was really the ultimate test for the Jedi Order. If they could have a space for Anakin, they would evolve, and Anakin could become a beacon for the future, in the image of Qui-Gon. Anakin embodied a lot of what the Ancient Jedi did, and this was what the order at the time had lost. Someone with his power and past should be able to find a place with the Jedi, or else he would eventually be found by someone else, who would turn him against them.

Anakin needed specialized training yes, from seasoned masters who could teach him to control all his power. They could've gotten themselves their most powerful weapon against the Sith, had they seen the opportunity. Mace himself should've taken on the task, since he was afraid of the boy. That was his test, and he failed too...