Ummm...ethnically He was of that tribe...by His mother...had to be...
But yes His Father was not, nor was anything He instituted at creation, such as His Laws...the very same ones revealed again for that church in the wilderness...nor can their method of administration be considered of that tribe...as even Moses wasn't...
The Father's firstborn son is Israel brought out of Egypt by Christ.
In 1 Corinthians 10:2-4 Paul said, "All were baptized into Moses in the cloud and in the sea, all ate the same spiritual food and all drank the same spiritual drink. For they drank of that spiritual Rock that followed them, and that Rock was Christ."
The church in the wilderness.