My kit is huge compared to that AIRE one.
I can't remember it all, but like the other response, a roll of duct tape is an important ingredient. I also increased the amount of patching material by including an extra big piece of rubber.
Off the top of my head: a good pair of scissors, a leatherman tool, a full sized pair of pliers, a real screwdriver, electrical tape, at least one spare valve assembly, a sharpie marker, spare parts for the frame (those pins and the thingies that keep them in), plenty of hose clamps that will fit on a frame tube, rubber gloves, a tool for rasping rubber, extra allen wrenches, a hack saw blade with small handle, patch kit for my thermarest sleeping pads, etc.
I even carry a tape measure in my kit because last year was my first season with this gear and I'm tweaking it on the river.
In my kit is a pen and paper to keep a list of stuff I wish I had in the kit when I was on my last trip.
I bought a good repair kit with a few extras for about $60 or $70 at Downriver and then added a bunch of stuff to it. I'm expanding it by adding another Pelican box to it this season.
I don't think you can carry too many tools and repair supplies unless you are just day tripping.