Jim,
I live in Northern MN, and unfortanlly have lots of experince using stabil as I can only rides bikes about 5-7 months a year (of course snowmobiling the other months :D).
Anyway, stabil is only effective for about a year, maybe less.
Does the KDX have a plastic tank??
If yes, I'd run the stabil through the system, then drain the tank and carbs (put the gas in the truck). Otherwise, in two years you might find your gas varnished anyways, and then youre in for a carb cleaning as well.
If no, run the stabil through the system and keep the tank topped off to prevent rust.