My first run I was a Dalish mage. I initially went to Redcliffe because I was invited and my sympathies were with the mages. Then I discovered they (or their leader Fiona) had sold out to the Tevinter Imperium. Didn't actually see those who objected doing anything other than moan about this though. This was a betrayal of not only the humans of Ferelden but also the Dalish who lived there. If there is one thing I had been taught to hate and mistrust more than the Chantry, it was Tevinter. As a mage I found the whole time travel story a bit far fetched (I could even comment that if time travel were possible, wouldn't the Dalish have tried it?) Fiona's confusion seemed far more likely the result of blood magic. So I decided to go with Cullen's advice and call in some anti-magic experts to help not just with the breach but also deal with the foreign invaders afterwards.
Unfortunately, on that run the game bugged when I reached Therinfall and after the Fade sequence I was suddenly minus my companions. I had gone there at the earliest level possible and now had to deal with defending the Templars in the hall plus the Envy demon, alone. This proved not possible, so I reloaded, did a few more quests to get my levels up and then, not knowing it was a bug, decided I'd go with the mages run instead, because perhaps the Templars run was weighted against mages. Subsequently discovered my mistake. Next run I was an elven hunter and followed my original instincts and went with the Templars.
You don't have to support the Chantry to opt for the Templars. You also don't have to ally with them and if you conscript them you effectively disband the Templar order. If you get any Divine other than Leliana, the outcome is better on the Templar path than the mages one because basically Fiona never learns and will always cause trouble if people don't vote the way she wants them to. Calpurnia is a much more interesting lieutenant than Samson and you also reduce the amount of red lyrium around Thedas. You also save a lot of ordinary Templars from a fate worse than death. When Cole and Dorian turn up at Haven, your reaction makes more sense on the Templar run, particularly if you have already met Dorian at Redcliffe. I trust Cole because he helped me defeat the demon in my mind and I realise that I may have misjudged Dorian.
I have actually done more runs on the Hushed Whispers path, although usually conscripting rather than allying with the mages, but my canon version is definitely the Templar one.