The argument falls apart on the claims that the universe is not working at random, and that if it's not working at random, there HAS to be an intelligence running it. Matter interacts with other matter in certain ways, but there's no evidence that it's not just the natural way the universe works instead of a god controlling everything. Furthermore, you can't make the leap from "there has to be an intelligence running the universe" to "the intelligence running the universe is God almighty so we need to worship Jesus, read the bible, and persecute gays" but that's usually where it ends up.
Christian apologetics is the art of rolling a dog turd in sugar and selling it as a donut.