Yes, I agree. His teachings can resonate with all of those other religions and spiritualities.
If you read the gospels closely however, you will see that He actually was Jewish. That said, He was also somewhat in conflict with the Jewish religious authorities of his time.
Christianity was not officially created until 300 years after Jesus's death. St. Paul never met him and was against him until his mystical conversion. He was also a Jew, but wanted to start his own religion.
But we will never truly know Jesus's actual intentions, because the New Testament was written years after His death and before the Catholic/Christian church became a thing.