"The fact that evolution occurs does not mean that it is just a happenstance."
Evolution is NOT a fact! It would require numerous mutations and mutations are generally bad news.
Besides, the Bible says, "In the beginning was the Word, and the Word was with God, and the Word was God. He was in the beginning with God; ALL THINGS WERE MADE THROUGH HIM, AND WITHOUT HIM WAS NOT ANYTHING MADE THAT WAS MADE."
Even Sir Isaac Newton believed in Creationism.
Sorry, but ID admits the fact of evolution. Behe says that, and he is the main scientific godfather of the ID movement.
Other than that I am at a loss as to what ID advocates believe.