Sure, but there is something to the idea that there is a set of Judeo-Christian principles and beliefs in common.
What we’re talking about is a unique predicament pertaining to Messianic and Missionary Evangelism, respectively.
Giving preference to anyone who supposedly believes in Jesus as a prophet or saviour figure is dangerous and misguided. “Messianic Jews” are their own thing, with their own unique set of beliefs...Christians are shortsighted to give them a pass in denigrating the validity of Jews, under this mistaken idea that they are somehow brothers in christ. Messianic Jews often reject the Church, and reject many Christian doctrines.
The Jewish soul does not easily accept prohibited ‘strange worship’. Most Jews who claim to be Christian do not believe in the dogmas of classical Christianity, something even Christians understood until the past generation or two.
When someone says they are a Jewish Christian, I frankly disbelieve them without lengthy investigation. Perhaps they mistakenly believe they are Jewish, or perhaps they wish to assimilate and do not wish to be honest about their true beliefs. Sure, it happens that a Jew actually believes in classical Christianity, but it is much more rare than a non-Jew converting to Judaism.