When people refer to the fact of evolution, its usually referring to something thats actualyl more geological then biological. The fossil record shows evolution in preservable characteristics over geological time.
Facts can be disproven of course, and this fact could be disproven by evidence in the fossil record of say, a human skeleton embeded in the rock strata at say the bottom of the grand canyon.
Theories of evolution are an explanation for why organisms show changing diversity and characteristics through time. As kellychaos said, the fact of evolution is not on the surface inconsistent with an intelligent design theory. Especially when you consider the evidence that supports the punctuated equillibrium theory, ie that organisms tend to evolve quite rapidly in relatively short amounts of time.
Natural selection, however, is a better theory
Probably the most ridiculous thing about teaching intelligent design in schools is that there is no serious scientific acceptance of the idea (keep in mind, we're talking about
science classes). Also, to suggest there is anything non-religious about teaching creationism to kids is completely ridiculous. If an intelligent and supernatural entity created life, what do you call that thing except God? And don't tell me that intelligent design doesn't presuppose supernatural intervention, because that would be nothing but utter batshit nonsense.