1- you are only Jewish if
a] you are born of a Jewish mother, who was born of a Jewish mother..... maternal Jewish lineage.
b] or if you convert by ORTHODOX Torah law... and ONLY abide by full Torah law 613 commandments.

2- If you are NOT born of a Jewish mother, but believe there is ONE G-d, no other, no son, no trinity, no "prophet Jesus, Yeshu, Yahshua" or any other fake variations of the name..... ONLY Hashem, and what is written in the Torah for Gentiles, the 7 Noahide laws, then you are Ben or Bat Noach. There are growing numbers of gentiles who believe in the TORAH for gentiles [most famous, Jon Voight, and the original Vendyl Miller "Indiana" Jones,r.i.p.]

3. If you are either born Jewish OR not of a Jewish mother, but you believe Jesus, Yeshu, Yahshua or any other fictional names and spelling existing is EITHER a god, a son of god, or a holy prophet OR the messiah that Torah speaks of as coming..... then you are MESSIANIC, which is a CHRISTIAN.... pure and simple.

Any other definitions are false.
That's the bottom line.