In order for the natural redemption described by the rambam to take place (to begin and reach the “cheskas mashiach” status of mashiach, which literally mens that at this point we can/should/have to presume that thisperson is Mashiach, before we can test him whether he will become the certain mashiach) , it is necessary to be a living political leader ( with enormous power similar to a King) who has political power who (on top of being a Godol Batorah and Mitzvot and Yirat Shamayim) COERCES the Jewish people to come back to the ways of torah and mitzvot (has at least the power to make it happen at least to the majority of Jews) and has to fight the the Wars of G-d which include undoubtedly the wars against the enemies of the Jewish people…since we are talking about a natural process it would have to be measured and perceived by the people naturally that this is the work of the Maashiach (does not suffice to say that it was a spiritual war that is attributed to a spiritual leader….the enemy must acknowledge that that is afraid of this leader)…and then and only then does this person reach the level of “cheskat mashiach”…
I think that for one to await mashiach right now mamash (as we all so eagerly wait and as the rambam himself codifies in the 13 principles of faith) it cannot happen in our day and age right now if not for lots of miraculous hands….it is easier to await and identify a mashiach that it happens right now if it happens by the methods of rishinom that things (building of the bet mikdash including mashiach’s coming etc) will happen miraculously…
I am not advocating either method…as long that it happens a quick and fast…and to point out that claiming at others that they contain heresy or the like for saying they will not accept mashiach until builds beys hamikdash and state “If someone will not accept a Messianic candidate to some extent without him already building the Bais Hamikdosh, or waiting for all manner of miraculous signs (which the Rambam says will not necessarily happen), then Moshiach cannot come according to that person in the way described by the Rambam”, is practically speaking futile and inaccurate talk , since the way in which the Rambam does describe the natural process to take place , including also the acceptance of the person to a mashiach candidate “to some extent” , requires of him to make the aforementioned tasks, that insofar as we can see in our eyes in the natural process, did not begin to take place yet, and for that to happen we need to see how that candidate uses the powers akin to a king (in our times) and uses them in terms of “coercing” all (or halachikally most is like all) Jews to accept the ways of observing Torah and Mitzvot and he fights the wars against the enemies of Hashem in a way that for instance Iran and our Arab enemies will be defeated by the physical wars that this leader wages and THEY will perceive tat his leader defeated them….