Not East! You must go South young man: to Israel, the Land and Home of the Nazarene. We would indeed be well advised to heed his mothers words of “Do whatever he tells you.” Near the end of his most famous ‘Sermon on the Mount’ he said, “Do not think I have come to abolish the Torah; I came not to abolish, but fulfill, for until heaven and earth pass away not one jot shall pass from the Torah until all prophecy has been fulfilled.” He lived his entire life modeling and teaching the Torah, as did his disciples. If you’re going to go back, go all the way back to the Yesod, the foundation, the Torah.
We have a few Christians from this new ‘Hebrew Roots’ movement in our shul’s Hebrew language and Talmud study classes who told several of us they left whatever Christian church they came from because they took exactly that message to heart. Meaning, all that stuff you wrote in your post.
Nobody says anything negative behind their backs to my knowledge, but the responses they got to their declaration amounted to “Oh. Okay.”. Rabbi thinks they’re nice. They pitch in to the coffee and bagels with schmear fund.
BTW, the Byzantine Rite descends directly from the liturgy of the Church of Jerusalem, so it is in a sense "going to Israel".