For a weekend adventure, I'd pack very little food - mostly snacks like trail mix, apples, Clif bars and so on. If I wanted to do the stove thing, I would bring some oatmeal and make myself some breakfast and have soups for lunch using water from my Camelbak, which holds 2L. My stove is the MSR Dragonfly, which is noisy but very effective. If possible, I prefer to eat at something predictable like Subway and eat a 1/2 sub for lunch and save the other 1/2 sub for dinner. Less packing, no waste & no smells overnight.
With a bike like the KLR having such a long fuel range, I would make sure I fill up before nightfall, so that I could wake early and have a good ride in the morning before needing to stop for gas. I'll use a gps and have routes plotted or use it to navigate the trails on the go, but I always keep the paper maps as a backup (wrapped in ziplock bags). Even when I'm using GPS, I'll print up Google Maps images of my routes, especially if it's complicated with many turns. All electronics are stored in ziplock bags.
Running trails or for shorter weekend trips, I would prefer to not have sidecases, but a top box, a tank bag and maybe a dry sack with camping gear if needed.
If by 'north', you are meaning north of Algonquin, then bush camping should be pretty easy to find. I did have trouble once near Timmins finding a spot to bush camp, because it was going to be a really cold night and daylight was running out quick. All across Lake Superior and north along the #11 there were endless places to just pull over for a night - just don't wait until dusk to start looking for a place.
If I was going to bush camp, I would want a green or brownish tent. A good headlamp is an absolute must for me. Bug spray or a mesh headnet is a must at certain times of the year depending on where you go. I keep a moist towel in a zip lock bag to keep my visor and/or windscreen clean. I also keep some emergency cash, a spare set of keys and photocopies of my id somewhere hidden on my bike that I can access (without needing keys or tools).
For clothing, I would have one set of bike clothes and one set of off-the-bike clothes. Everything should be thin, light and quick to wash/dry if needed.
For sleeping, I use a Hotcore sleeping bag with a Thermarest and I'm comfy between -5 to 35deg in my Eureka El Capitan3 tent.
Before any trip, I do a dry run of packing my bike to make sure i am happy with how everything is packed. Items I need first are packed last, etc.
Your bike must be in good order. My clutch burned out on me in North Carolina area on a long weekend, so it was an expensive trip home via Uhaul.
ADVrider is an amazing resource for tried and tested spots to pitch your tent.