Moshiach by the numbers

Position 1 - The Rebbe was "chezkat Moshiach", (presumed Moshiach as per  the Rambam’s Hilchos Melachim uMilchatonim).  Since his passing from this world he remains a strong influence, perhaps (Tanya via the Zohar), even a greater influence than when he was with us physically. The Tanya teaches that a tzadik's influence is greater after his physical departure as he's no longer bound by physical limitations.  A corollary to this position says the Rebbe was Moshiach ben Yosef who starts the Redemption  process but doesn't survive it and is followed later by Moshiach ben Dovid.

Position  2 - The Rebbe was "presumed Moshiach" and remains so even after his physical departure (Gemora Sanhedrin: candidates for Moshiach may come from those who are not among the living).

 Everything the Rebbe said came true (public predictive statements), defining him as a true navi (biblical level prophet), therefore his statements on Moshiach and geulah must be treated as navua (biblical prophecy) - prophecies of a kosher prophet that have not yet been fulfilled.

Position  3 - The Rebbe was Moshiach tzidkaynu (our righteous redeemer) as confirmed by rulings of hundreds of rabbis and his demonstrations of navua (prophecy), as well as fulfilling most of Rambam's rulings on the actions Moshiach must fulfill (Mishneh Torah Hilchos Malachim uMilchatonim 11).

 The Rebbe wrote as part of his navua (prophecies) that Moshiach would go through a time of pain and subsequently a time of being hidden.  Therefore we must trust in Hashem and in the words of the Rebbe during this time of darkness and cannot define the Rebbe as having left this world.

Position  4 - The Rebbe is Moshiach tzidkaynu who is hidden from us at this time.  He gave us the paths to follow and the final mitzvah campaign/focus to teach about Moshiach and the Geulah and focus upon them.  Therefore we are obligated to continue in this area with maximum effort (and perhaps the only effort of mitzvah campaigns) to bring the Geulah to completion.  Since Moshiach ben Dovid does not die, the Rebbe is not dead.

Position 5 - The Rebbe is Moshiach tzidkaynu who is hidden from us at this time.  The Rebbe wrote in his prophecies that we have entered the time of the Geulah and "people must only see it and recognize it".  Therefore, recognizing that this is the time of the Geulah we will begin to live according to the words of all of those who have written of how it will be during the Geulah, such as changing Rabbinic fast days to feast days.  Geulah is here, open your eyes and see it and join us.

Position 6 - The Rebbe, Moshiach and Prophet, wrote about the levels of connection between the soul of Moshiach and Hashem, and how Moshiach's soul connects at higher levels than ever seen before in this world - bringing down a level of Hashem's light beyond what the world has experienced.  Therefore, the Rebbe Moshiach, who is here although hidden at the moment, is not just the agent of Hashem in this world but the arm of Hashem in this world.  And since Hashem is one, the arm of Hashem is...Hashem.  Therefore the Rebbe, Moshiach and Prophet, is Hashem.

Most of Chabad holds position #1. Further, the official Chabad organizations have been relatively forcefully purged of anyone not holding position #1 for the past 15 years (successfully).  The stronger Moshiach positions are not tolerated by the official organs of Chabad Lubavitch (Merkos L’Inyanei Chinuch, Agudas Chasedi Chabad, The Shluchim’s Office, Kehot Publications, etc.)

Some hold position #2, more so in Israel.  This makes non-Chabad theological authorities a bit nervous and they'll challenge whether halacha holds at this time that Moshiach can come from among the non-living (it doesn’t).  But they'll also grudgingly admit that holding this position is kosher (if not preferred).

Positions #3 and #4  are held by what are called Meshichists (Moshiach guys, often identified by wearing yellow Moshiach flag pins), more so by native Israeli Chabad than US or worldwide Chabad. In the US this is found almost solely in Crown Heights where it may be 25%, but that includes the Israreli Torah students studying there.  The positions are problematic but not directly non-kosher according to major poskim and gedolim that have reviewed them.  Meaning we wouldn't call the position mainstream Torah Judaism, but you can't define people who hold it as heretics.  #3 people are handling out flyers that refer to the Rebbe Melech HaMoshiach, and #4's flyers talk only about geulah and may add Rebbe Melech HaMoshaich Chai Vekayam (lives forever).

People of position #4 make people of position #1 nervous, as Chabad as an organization is also concerned about people going off the deep end and about their image.

Almost no shluchim  in the US hold anything other than position #1, and if they did they were pushed out.  (There are a few exceptions.)  In Israel the same is true but it's often position #2.  No true major authorities have any serious problems with these positions (doesn't mean they like them, but that doesn't make them a halachic problem.)

Positions #3 and #4 are concentrated into Crown Heights and certain places in Israel (such as Tzfat)