Although they keep the Sabbath and Holy Days, plus do not eat biblically unclean animals, Messianic Jews are NOT in the Church of God. They consider that the Protestants are real Christians.

Here is some of what one Messianic group says about their history:

Messianic Judaism as a distinct movement faded in the seventh century, there have always been individual Jewish Believers in Yeshua. Beginning in the early 1800s increasing numbers of Jewish people began believing in Yeshua. The modern Messianic Jewish movement came to fruition in the 1960s and 1970s. (What is Messianic Judaism? Congregation Shema Yisrael. viewed 09/07/14)

Furthermore, they tend to push 613 requirements:

So what relationship does the Gentile Christian have to the 613 laws of the Torah? The book of Acts records that Messiah’s Emissaries (the Apostles) and the Elders of Messiah’s Holy Community met to decide this very issue. In the Messianic Jewish community we commonly refer to this meeting, recorded in Acts 15, as “the First Jerusalem Council”. (What is Messianic Judaism. Congregation Shema Yisrael. http://shema.com/messianic-judaism/what-is-it/ viewed 12/30/19)

Let it be stated that the apostles did NOT meet to discuss the ‘613 laws of the Torah’ in Acts 15. There is no such thing biblically. Messianic Jews should not try to kid themselves that the list was the issue.

The list of 613 comes from Jewish tradition and a misnomer about pomegranates (supposedly they have 613 seeds, but they range from about 165 to over 1000). In Acts 15, we learn that the council of apostles and elders got together to decide whether or not Gentile Christians had to be physically circumcised. Many of the 613 ‘mitzvot’ are not laws of the Torah, but are Jewish traditions.

This Messianic movement considers itself to have the “same core beliefs” as professing Christian groups like Protestants (ibid).

While beliefs vary, Messianics tend to consider heaven the reward of the saved, that God is a trinity, Jesus was killed on a Friday, and that it is fine to celebrate Christmas and Easter (https://www.shema.com/frequently-asked-questions-12659/ accessed 12/20/19). Those are also positions of the SDAs (Seventh-day Adventists) and SDBs (Seventh Day Baptists).

The Messianics differ in that they advocate wearing things like tassels (specially knotted ritual fringes worn by observant Jews, also known as tzitzits) as well as “a Star of David, or a Star of David with a cross in it” (ibid). We in the CCOG do not. Some Messianic men wear head coverings known as kippah (also called a yarmulke) even at times they would be biblically-prohibited (cf. 1 Corinthians 11:4,7).

The New Testament demonstrates the apostles did not appear to look like Jewish rabbis or Levitical priests, though many Messianic leaders seem to try to do so. When, for one example, the Apostle Paul was arrested, the authorities did not recognize him as a Jew, but thought he was an Egyptian (Acts 21:37-38). Paul had to tell the military commander he was a Jew (Acts 27:39). Thus, Paul did not look like a Jewish rabbi, nor was he apparently wearing distinguishing phylacteries or tzitzits as the Messianic Jews do. Christians have God’s laws written on their hearts (Hebrews 10:16), hence do not need to wear visual reminders.

Many Messianics use Hebrew names for deity. For some of them, it is based on the wrong idea that the New Testament was primarily written in Hebrew or Aramaic, which it was not. Other than a very few Aramaic quotes, the New Testament was written in koine Greek. When one accepts that fact, one can see that God did not intend nor expect people to use Hebrew names for deity. Furthermore, because of the early lack of vowels in Hebrew, no one actually can be certain how those Hebrew names were originally pronounced.

Messianic Jews tend to consider themselves as at least similar to Protestants who accept Jesus, but believe that they should live somewhat like Orthodox Jews.

The Messianic Jewish movement is not part of the Church of God.

The Continuing Church of God has the following related sermon on our ContinuingCOG channel:

1:20:28
Seventh Day Baptists/ Adventists/ Messianics: Protestant or COG?
Although Seventh Day Baptists (SDBs), Seventh-day Adventist (SDAs), and Messianic Jews keep some version of the seventh day Sabbath, are they Protestant or Church of God. What do they claim? What do they teach? What do SDAs and Messianic Jews teach about their history? Do SDBs cite groups who held Church of God (COG) and not SDB doctrines? Which group teaches the original biblical Christian faith? How do the SDAs, Messianics, and SDBs agree with Protestants on issues such as salvation, history, and the Godhead, which differ greatly from the Continuing Church of God (CCOG)? Are there really 613 laws of the Torah? What are 28 ways the SDAs differ from the CCOG? Are ‘Black Israelites’ right about Jesus being a black African? Was the Day of Atonement on October 22, 1844 according to Rabbinical or Karaite Jews? Did the SDAs or COG come out of the Millerite movement? Did Ellen White make false prophecies that she insisted came from God? If so, what were some of them? Did the SDA church send out literature it knew was clearly wrong? Was Ellen G. White’s sanctuary interpretation the “complete system of truth”? Did SDAs once teach crosses were pagan, but now include them in their official logo? Which of the 4 church’s (SDB,SDA, Messianic, CCOG) doctrines have the most biblical and historical support? Dr. Thiel addresses these issues and more.

Here is a link to the sermon video: Seventh Day Baptists/Adventists/Messianics: Protestant or COG?

Messianic Jewish Beliefs

Which Laws were Superceded? Which Remain?

The Sardis Church Era

Seventh Day Baptists are Protestant, not Church of God

Seventh Day Baptists/Adventists/Messianics: Protestants or COG?

Protestant, Baptist, and CCOG History

SDA/CCOG Differences: Two Horned Beast of Revelation and 666

CCOG and SDA differences and similarities

The Sardis Church Era

Sardis Church Era: Beginnings, Doctrines, and Leaders

Sardis: SDBs, SDAs, & CG7s