Jewish is an ethnicity. (Let's use "Judaist" for members of the Judaism.) Islam and Mennonites are religions. These are different topics, so I will cover them separately.
Mikraite has nothing to say about ethnicity/race. Opinions on this are left to individual members. But we require that all Mikraites support each other regardless of race or other features. So applying this, we have no problem with zionists or white nationalists. These groups just support a racial homeland and Mikraite has no position on this subject. So members of these groups can join Mikraite. But talmudic/rabbinic jews and nazis are a problem for us. These groups are hostile to other races and this conflicts with the Mikraite requirement of supporting other Mikraites regardless of race. In case you are curious, we currently have 3 whites, 2 chinese, and 1 jew (me).
Mikraite is a religion. It is a new attempt to follow an old religion, namely the religion of the Old Testament. The only other current religion based on the Old Testament that I know of is Karaite Judaism which has some issues in my opinion. The Old Testament does not conflict with traditional Christianity, so Christians can become Mikraites. Islam is less clear. We are not interested in converting to other religions, but we recognize that our group is small, so we could benefit from associating with a larger religion. At this point, conservative Mennonites seem to be the best choice and I plan to move near a conservative Mennonite church.
The best way to learn more about us is to join one of our Old Testament readings:
http://www.mikraite.org/Online-Old-Testament-Readings-tp145.html