I will come right out and say that I am an Atheist/Buddhist type person, and I most definitely do not believe there is any supernatural force governing The Universe, because there is no convincing evidence for it. So, it goes without saying that I will reject any arguments coming from Faith. I am interested in evidence and discussion of that evidence, as well as conjecture based on intuition as arising from human experience.
That being said, the evidence for Evolution is overwhelming, interdisciplinary, and complete. Microbiology alone gives us a long chain of ancestors going back millions of years. I don't believe any discussion of Evolution as 'wrong' is fruitful at this point, unless you can point to multiple failures in numerous disciplines, including genetics, microbiology, chemistry, nuclear science, and so on. The EU doesn't do that, taken entire.
I would be very happy to talk about 'how' things may have evolved. That subject is very much in question in all disciplines. Darwin's theory of Natural Selection was but one (not the first, but certainly the one with the most impact) idea of how evolution may have happened.
As far as the topic of this thread is concerned, there is a good amount of evidence for multiple ice ages in the past, not only talking about geological interpretations, but fossil deposition, diatom, bacteria, algael, and so on. I would completely agree that the 'how' and 'when' and 'why' have not been found out, but the 'if' question seems fairly settled at this point. We should never overlook things, of course! But I don't think we would even stand a chance of finding out kinks in an 'if' question, unless we show that the other three don't have any rational answer. Either way, its a very good way to spend your time and research efforts, because whether or not an Ice Age happened, you will get good data and results.