Hello again. I'm a new rider, at least new to modern mountain bikes. I'm a very casual and conservative rider - no stunts, no racing, and no drops. My bike has WTB ExiWolf tires, tubless, with hook bead rims. Less than a hundred miles on the bike and the tires are in near-new condition.
Still, I had two simultaneous flats today. Ran through some goatheads it seems.
If I add Slime inside the wheels, could that prevent small punctures from being catastrophic flats?
A lot of people will also run Stan's sealant with UST tires just to prevent this sort of thing from happening. Personally, I would run Stan's on a non-UST tire to save the weight as UST tires are heavy in comparision
While looking for puncture wounds in the tire (soapy water in the kitchen sink), I noticed something very worrysome. Many of the spokes were releasing small amounts of air, and there was quite a bit of air coming from the valve stems, and one tire was leaking around the rim. Is any of that normal? There is a liner in the wheel.
It seems to me it would not be normal, but again, I do not run UST and couldn't tell you definitively. I think running Stan's would prevent this too. Perhaps adding a new rim strip, but I don't think UST wheels should need one. It should be sealed.
Are the tires shot, or can they be repaired? I looked at Nashbar tonight online and didn't see anything like a repair kit for tubeless tires. Anyone recommend a good kit with at least 10-20 small patches?
Anything rubber can be repaired with a patch kit. I would run with a "glueless" kit for trail side repairs and perhaps have a regular kit at home. This may change if you're running Stan's though.
I'm going to order some tubes for trailside repairs. Should I just add tubes permanently?
If you're going to run tubes, I would get new tires too. Again, to save the weight. You could use the glueless patches for trial side repairs, if you are not running Stan's.
The tire brand and model is obvious, but the wheels are unmarked except for a sticker that says, "Wheel Works Cyclepro." Anyone know about these folks?
Never heard of it. Depending on how old the wheel set is, you might want to call it and see what it says about what is going on and its warranty.
Last question, why in the heck do they make the tubless tires so hard to remove?!?
Because they have to be air tight! 
Any advice is welcomed!
-Bob