My opinion is that they are all "fakes". There was a gap of several hundred years between Jacque DeMolay and modern Templarism - with no evidence of being linked to the Templars of old.

Modern Templarism, including the Masonic Knights Templar, are shadows of the old order of the temple. We are talking about a modern philosophy based on historical Templar values verses a true medival era politcal, religious, financial and military order.

It is possible that some of the modern Templars are reincarnated Templars of old, however.