@awnlee jawking
Fish and fishermen are mentioned frequently in the Christian Bible, but the people it talks about considered themselves to be Jews.
Which if you know were written by Christians. And actually 100 years or more later. Most are written well into the Second Century CE, after the schism occurred. Christians were not even "Jewish" by that point anymore, and were well on their way to becoming "Romanized", in addition to being Hellenized.
And as an FYI, even though they considered themselves to be "Jews", quite a few Jews did not consider them to be even before then. The largest sect in the Nazarene region were the Essenes, which in "modern terms" would be seen as a rather radical fundamentalist group. No swearing of oaths, a strictly literal tradition of how to interpret the scriptures, refusing to sacrifice animals, no slaves, no trading, little in the way of private property, and communal living.
They also viewed everything that was written by, about, or from their Scriptures to be a "Holy Work", which is why they are responsible for the largest collection of Jewish writings of this time period. They also believed in an "Immortal Soul", something in contradiction with more traditional Jewish beliefs.
And some groups took their belief about sacrifice even further, being vegetarians. And having a belief that eventually all animals will evolve into eating only plants.
Remember, this is the group that was living around the Sea of Galilee. They were largely "Jews in name only", which became an issue in the middle of the 1st century CE.
The connection would not be unlike going up to an early 20th century Catholic, and saying that the members of the "Church of Christ, Scientist" were "Christians". Or the members of the LDS church a half century before that. Or by the Third Century the various Coptic and Agnostic Christian sects.
You keep trying to bundle all of these groups together, but it is nowhere near that simple. The only "Jewish Sect" which had any real "Fishing Tradition" were a heavily Hellenized group, which was also practicing a radically Fundamentalist belief, which was very different than that of most Jews.