I wouldbe interested in any sources forthesestatements that did not emenate from the Church or simply repeat accusations made by the church as grounds for persecuting the Order.
There are many histories, and tomorrow I'll try to get you a list (if I don't, please Freepmail me). You can draw your own conclusions.
My sense is that some members were perfectly orthodox, and others were not, particularly in France. Politics definitely intervened (French politics, the worst of the worst), and I think this has got to be taken into consideration, too. However, one of the real reasons that religious orders were suppressed in the past is simply that they had outlived their usefulness and their mission was going astray or going nowhere. I think this had a lot to do with the suppression of the Templars.
One of the things that makes me feel they may have been unorthodox, however, is their large contemporary following among the New Age fruits and nuts of this world. If orthodox Christians can recognize orthodoxy, then fruits and nuts can recognize heterodoxy, and they seem to have been doing it abundantly in the case of the Templars.