There is no formal British car club in the Yukon.
Richard Roberts, of Whitehorse has a collection of 12 British vehicles ranging in age from a 50 Morris Minor to a 76 Triumph TR6. His latest acquisition is a 65 Land Rover Series 2 109.
There are Brit cars here, and visiting, there was a group travelling from Panama to Anchorage this past summer (2008), and an Aston Martin DB4 tootling up the Alaska Highway accompanied by a few Jag XK140s.
The Alaska Highway was an early proving ground for Morris Minors in the very early 50s. Nuffield/Morris Motors made a film called "Dusty Roads" which recorded this.
Richard Roberts has a website @ North of 60°
Richard Roberts, can be contacted @ firstname.lastname@example.org