The no-feedback warming per doubling of CO2 is 3.7 W/m^2, which is held to be roughly equivalent to 1 degree of global temperature. There are some fairly readily ascertainable facts about climate change, sufficient to demonstrate that it is happening, and that it is caused by human CO2 emissions. The Earth is a complex system, but the critical effects are at the top of the atmosphere, which is much less complex. The lower bound for the warming effects is consequently very well known. And it's not so much the case that there are large quantities of this other well-known greenhouse gas lying around, and more like we misnamed this planet. There is uncertainty when trying to model anything, but I'm afraid at this point the "not a serious problem" warming scenarios have been ruled out.