The Earth is 70% covered with water, which is in continual phase transition depending on local temperature. The most important transition for these purposes between liquid and gaseous states. Given that there is almost always some liquid water which will under no great provocation become gaseous should the atmosphere be capable of absorbing it, we can for most intents and purposes say that the atmosphere is saturated with H20. There is precisely zero we can do about that. Looking down the list of gases which are present in non-trivial amounts in the atmosphere, and which also contribute to the greenhouse effect by absorbing long-wave radiation, CO2 is clearly the biggest concern. Discounting the seasonal variations, the largest natural contributions to the carbon cycle are volcanic. In past eras volcanism has been responsible for some rather extreme extinction events. At our current rates of CO2 emission, humanity has been putting even the largest-scale volcanic events to shame. An eruption the size of Mt Pinatubo would, as I recall, represent about a day and a half of human CO2 emissions. An eruption on the scale of the Yellowstone supervolcano could be had twice annually without equalling our impact. We are still a couple orders of magnitude away from the largest CO2 outgassings the world has ever seen -- but we're working on it. And you must keep in mind that even spectacular events like the Deccan Traps happened over millenia and gigaannums. We are almost certainly changing the composition of the Earth's atmosphere at a rate unprecedented in its existence.
Discrepencies between theories and observed results are common in all fields, and in most cases do not affect the validity of those theories. Certainly not to the point where one would question, e.g. the greenhouse effects of carbon dioxide, which may be trivially demonstrated with any transparent container and a thermometer. In point of fact, since it is such an obvious property, it should come as no surprise that the idea of CO2-induced warming is about 200 years old. We may also point out, since you mention it, that the variation in solar irradiance is on the order of .1% over its 11-year cycle. This is still worth accounting for in a mathematical model, but being a fairly stable cycle it of course has a minimal effect on the error factors. I don't wish to belabor the point, but variance has nothing to do with predictability: consider any harmonic oscillation.
We may touch on the necessity for mathematical models and their use: a simple and fairly useless model would be to consider the Earth as a perfect blackbody, which can only tell us that this ideal Earth would have a temperature of ~6 degrees C. A less bad model might consider the atmosphere as a column of layered gases, from which one could derive some useful indications of what effect they have in various proportions. Again, a higher partial pressure of carbon dioxide will result in greater absorbtion of outgoing long-wave radiation, i.e. a "greenhouse" effect. Since warmer air can contain more water, and since the supply of water may be considered to be inexhaustible, a naive calculation would show that increasing the partial pressure of CO2 would lead to arbitrarily large temperatures, a la Venus. Since we know from experience and paleontology that this does not occur on Earth, we may be extremely thankful for various countering forces in the biosphere which ensure that this is not a runaway effect -- so far.
The problem is, of course, that our atmospheric changes are drastic and unprecedented. We rely on of life in order to balance out our carbon equation, but we're also doing a wonderful job of deforestation and various other forms of damage to our environment. At this point we are merely hoping that enough of these various other species are able to survive the Great Anthropogenic Extinction Event in order to ensure our own survival.
You may not be an idiot. You are deeply ignorant; this is grade-school level science. You are also close-minded, apparently unwilling to seek out the answers to your questions. You also are reactionary, and unwilling to listen to learned experts on the subject. Or, equivalently, you are unable to distinguish between expertise and its opposite. At which point, pray tell, should we start respecting your ignorance? Beyond this, you seem to be focused on pedantry concerning the term "global warming". I make no remark on this save to say that it is a shame that your mind has so well adapted itself to the meanest comprehension.
I have made no predictions; I leave that to my betters. I give merely the briefest overview of the physical systems, and hope for all our sakes that they may be useful. I am sure that while I can probably answer any other objections that you might have, you should probably take more active steps in acquiring new knowledge, such as consulting the FAQ on realclimate.org. An undergraduate course in Atmospheric Science might also be recommended; you may wish to examine MIT's OpenCourseWare offerings in that respect, and there are also a number of free texts available online: I will single out Jacob's Introduction to Atmospheric Chemistry. Thank you for reading, and I apologize for any strain on any one's attention.