I must confess that my entire knowledge of The Knights Templar is from the various Masonic books I own such as "Morals and Dogma" and "The
Book."
The highest degrees in the Scottish rite all revolve around them, most of the bigwigs like Pike seem to think Freemasonry is borne of Templarism, but
I must say I can't see a direct link, there is a "quiet period" of about 200-300 years, but as Janus points out they originally rose from a group
of only 9 to the most powerful legion in the empire in 5-8 years.
I remember flicking through a copy of an English translation of "The Monitor of the Knights Templar" and noted that there were many similarities
between it and Scottish Rite also.
My cop out is I believe it is a resuscitation, someone wealthy and powerful (and French ) probably traced back their heritage and decided to resurrect
the order using the materials they had available to them in approximately 1650AD.
The "Scottish" tag would for want of any other explanation suggest the Scottish Rite has its origins with either the Stuarts or Chevalier Ramsey,
remembering that it is derived from the original French Rite.
Although McClenechan makes special note that Robert the Bruce originally conferred the degree “Knight of the Rosy Cross”, he stresses that the degree
was in a detached form.
Much of Freemasonry is composed of pre-existing societies, rituals and religions, question is whether this is a deliberate attempt to disguise its
true origins or just the side effect of having such an emphasis on secrecy that everyone over time forgot what it was all about in the first place.
In Abbe Augustine Barruell's memoirs he makes the observation that he was greatly disappointed and surprised to discover after some time that nobody
he met during his time in the Lodge really understood the meanings of many of the rituals or symbols.
As to the Templars being Orthodox - well from a Masonic point of view (which could be completely fictitious) they were the first Freemasons - having
failed to win the hearts of the people of the Middle East over to Christianity, Jacque Demolay sought a new tact and began to incorporate local
religions and Islam into the order of the Knights Templar but kept up the facade to Rome that he was still loyal to their cause, serving “The One True
God.”