I hear this over and over.  They insist on using this name.  Is there something more to that?

Is it part of the New Age/Theosophy Ascended Masters stuff or AC/Moshiach plan to fool the Goyim?

Here is one thing I found:
"The rising of false Christs as predicted by Jєωιѕн Yeshua Hamashiach began in the 1st century. By carefully following the bible and history of the church, you’ll learn that in the same century, the Jєωιѕн messianic movement began in Jerusalem, a false Christianity movement began in Samaria, which identified their members as “Christians” but preached about “Jesus Christ” instead of Jєωιѕн Yeshua of Nazareth. As the Jєωιѕн believers in Yeshua were spreading from Jerusalem to other nations, the false Christians were spreading from Samaria to other parts of the world proclaiming a false [Jesus] Christ!"
https://babylon-today.com/2017/10/06/deception-through-the-name-jesus-christ-part-4/

I thought that messianic Jєωs or so they call themselves, use that term- Yeshua Hamaschiach- for Christ.

Interesting.  It may be something we need to keep in mind in the coming days of deception.

Is it related to the judaizing Hebrew Roots Movement?