@NonPolitical:
(Oh, the irony!)
Saying on doesn’t believe the Rebbe to be Moshiach and denying the Bias HaMoshiach are two very different things. If one doesn’t believe in the coming of Moshiach he’s a Kofer Bikkar, while one who doesn’t believe the Rebbe is Moshiach hasn’t committed any Aveirah.
That being the case, Person #1 is not a Kofer, while Person #2, though he insists on Mehadrin Cholent, is still a Kofer. To quote the Rambam:
הַמֶּלֶךְ הַמָּשִׁיחַ עָתִיד לַעֲמֹד… …וכָל מִי שֶׁאֵינוֹ מַאֲמִין בּוֹ. אוֹ מִי שֶׁאֵינוֹ מְחַכֶּה לְבִיאָתוֹ. לֹא בִּשְׁאָר נְבִיאִים בִּלְבַד הוּא כּוֹפֵר. אֶלָּא בַּתּוֹרָה וּבְמשֶׁה רַבֵּנוּ.
I don’t think this is new information to you, so why exactly we’re you asking this question?