Hi Redleg,

IIRC Jacob de Molay was the last Head of the Templar order when the Pope
arrested them all. He refused to acknowledge the charges of heresy etc. till
he was executed.
Rumour has it that the remaining order members, those that could escape,
later cofounded the Masonic order or at least became part of it.
The name Order of Molay seems to relate to this chapter. I would guess
that Members of the Order of Molay follow certain values that they connect
with the Knights Templar.

As to what they're up to, I've no idea. Seems pretty harmless.