I'll go out on a limb and suggest that the blue sections, possibly combined with other factors like tires getting old and hard, were the main culprit. We have a local running joke about tires, that's essentially "blah blah blah, most tires will work fine, but if you find yourself behind someone on red Tufos, watch out!". I know one guy who slid about a meter sideways on our straightaway (about 17 degrees) on some red Tufos, and then another guy who should have known better showed up about a week later on the same model tire and did about the same thing. They use silica filler for durability, instead of carbon black, and it makes them slippery. We even had someone who slid out (twice!) in the first corner of his pursuit start at elite nats. After the first one the neutral mechanic tried to make him borrow some wheels with better tires, but he didn't. So he slid again and was done...

The rubino pros with grey where your blue is seem to work fine on our track, so I'd even suspect that your rear tire is causing you trouble and you don't have the feel yet for what it feels like just before you slide or as you start. I'd replace both tires anyway, and look for something all black that feels kind of sticky, or just get whatever is on the rentals and run over it a few times with some scotch-brite.

There's a little section on tire selection on the ADT website: http://lavelodrome.org/Training/AccelClassSummary.htm but it doesn't really say anything that hasn't been said in this thread. It's probably the biggest question we get from new riders, or riders from other tracks.

I was talking about tires last night over dinner with a friend who doesn't bike. My friend, who's been doing some research in latex and polymers lately, pointed out that one of the books that pretty much every scientist and engineer owns (and we compare what year's version to see how old we are) is the CRC handbook, which contains enormous amounts of data on all sorts of materials. CRC is the "Chemical Rubber Company" who first published the book because they were accumulating enormous amounts of materials data because rubber properties are often very fine tuned with strange materials for very particular applications.