Forman...you don't realize it, but you HAVE figured it out...here it is, what you said above, boiled down to three words "Change is constant". Both sides of the debate agree that yes, the climate does change. Some think that it is happening very quickly while others think that it is more gradual.
The biggest part of the debate is whether or not the change is caused by and/or accelerated by the actions or inactions of mankind. That takes the debate to the issue of what, if anything, governments should do to curb the climate change.
That takes in issues such as can or should the government so heavily regulate an item that you use on a daily basis (energy, how you dispose of waste, etc). Big government types want to regulate everything because they think that the individual can't do it themselves or are too stupid collectively to do it. Individualists, on the other hand, would prefer that our freedom not be impinged and that individuals and the free market can solve the problem.
There are a lot of other facets to this debate, to be continued I'm sure.