> And yes Moët (the champagne) is pronounced "moh-ett" in France and by French speakers.
https://fr.wiktionary.org/wiki/Mo%C3%ABt
> Moët \mɔ.ɛ\
> Nom de famille.
For the champagne, we see this heading the French wikipedia page:
> Moët & Chandon (prononciation /moɛt‿e ʃɑ̃ˈdɔ̃/) est une maison de Champagne fondée en 1743
But that doesn't imply that there is a /t/ pronounced in "Moët" when not followed by a vowel; that's just normal French liaison. The explicit liaison marker in the phonetic spelling strongly implies that there isn't a /t/ in citation pronunciation.
This is all wiki information though - do you have a better source?