First let me say that there are no Jewish missionaries. As I explained in my article Oil and Islam don`t mix, Judaism does not need nor want people to become Jews. You will never see a Jew asking a non-Jew if he has accepted Moses as his personal Savior nor ever see a Jew forcing a Gentile to convert to Judaism under threat of force.

Judaism does not require Jews to compel the nations of the world to be ruled under Halakha (Jewish Law) and so does not need tons of Jewish converts to help make them so. Which is why it is near impossible to find a Jew who wishes in his heart that America do away with the Constitution and adopt Jewish Law.

Here is how it goes for Jewish conversion:

Non-Jew: Hi, Rabbi, I would like to convert to Judaism. Rabbi: Uchhh! What? Become a Jew? No no, no. You don't want to be a Jew. The trouble, the antisemitism, the danger, ahhh forget about it.

Non-Jew: I want to be a Jew, really.
Rabbi: Oy, it's a lot of work. Be a good boy and think about it for a few months and see me later.

...

A few months later:

Non-Jew: Hi again, Rabbi. I'm back. I thought about it and I want to be a Jew.
Rabbi: OK, if you insist, but you will have to read the Torah first. Then come back to me.

A few months later:

Non-Jew: Well, I read the Torah, and I want to be a Jew even more.
Rabbi: You read the Torah? You can read Hebrew?

Non-Jew: No, I read it in English...
Rabbi: Tut, tut, that's no good. You have to read it in the original Hebrew.

Years later the non-Jew dies of old age and the rabbi is spared the task of converting a goy to Judaism.

As for Muslims, every Muslim is a missionary. Islam requires devout Muslims living in dar al-Harb to help turn that country into dar al-Islam, that is, engage in jihad to make Islam the dominant religion in that land.

CAIR national spokesman Ibrahim Hooper informed us long ago that “If Muslims ever become a majority in the United States, it would be safe to assume that they would want to replace the U.S. Constitution with Islamic law, as most Muslims believe that God’s law is superior to man-made law.”

That is why Muslims need to convert as many infidels as possible to Islam: they need a Muslim majority in order to rule the land they live in.

Here is how it goes for Muslim conversion when Muslims are in power: