There is no Muslim Martin Luther, no Reformist Mosques, and I’m pretty sure there was never a Muslim King who founded his own sect so as to marry whoever he wanted (cough, Henry VIIIth cough).
But anyway, I would like to hear an answer from an actual Muslim person at some point.
There was a 19th-century Pakistani man who claimed to be the Messiah, and a prophet sort of on the level of Mohammed, albeit a non-law-bearing prophet. (Okay, modern-day Pakistan, at the time it was British-controlled India). Today, it is the fastest-growing sect of Islam, most Muslims do not recognize it as actually being Islam, and in Pakistan especially, it is among the most heavily persecuted religious groups in the world. In terms of doctrine and the way it’s recognized by orthodox Islam, this bears some comparison to forms of marginal Christianity like Mormons and JWs. This sect is called Ahmadiyya, by the way, and its adherents are known as Ahmadis or Ahmadi Muslims. There is a pretty regular contributor on Fox News that is an Ahmadi Muslim, and the Fox News hosts don’t seem to have completely figured out where he fits in to the rest of Islam, so it is good to know about this if you do see someone like this pop up from time to time.
Oh, besides that, Ahmadiyya is the only form of Islam that is thoroughly, completely, top-down and every which way in favor of secular government, religious freedom, Not forcing kids to practice Islam if their parents happen to be Muslim, the whole thing. They are also the most active in terms of evangelism (or aggressive, depending who you ask), they somehow have a lot of really wealthy members and a lot of well-funded missions, missionaries, and humanitarian networks that really do a whole lot of good without necessarily looking for converts at the same time…many of these things allow for some comparisons to Protestantism in a broad sense, and some of them continue to remind you of Mormons a little bit. Ah, you might be interested to know, the owner of the Jacksonville Jaguars- Shad Khan- is an Ahmadi Muslim.
So there you go. Despite the initial premise that Mirza Ghulam Ahmad is the promised Messiah and Mahdi, and the Mujaddid (Islamic reformer) of the 14th Islamic century, this is easily the most-favored sect of Islam in the West. Mostly because they are all on board with religious freedom and with secular government.
No, that’s not quite the same as when the leader of a country breaks the entire country off from the church it used to be united with (even though Islamic nations aren’t united to each other via a hierarchy that they have never had), but it is a bunch of new information that I trust you will look into. And for what it’s worth, Eastern and Oriental Orthodox Christians do not have massive Reformist movements or anything like an Eastern or Oriental version of Luther, Calvin, et al. So perhaps this fragmentation thing is not characteristic of all Christianity as much as it’s a characteristic of Catholicism and all those people that it completely lost control of, as no other Christian entity has ever done.