1- this is the key point. The sun causes these changes. The same relationship is seen in temp rise since the LIA. 2- there's evidence contrary to this. C14 data has proved the suns sustained output during these periods. CO2 increase during these periods had no unity with temp changes whatsoever. Which proves that CO2 had no compounding effect. This is only logical since CO2 only absorbs a small % of the total radiation absorbed that cause the greenhouse effect. The graph you put up showed only a small % of the total available radiation available. The graph should have extended farther to the right to show hi infrared also. But it doesn't cuz CO2 has little absorbtion at those frequencies. Therefore, cultists must deny the relationship.
If you were right (and you're clearly not since we're at a solar minimum), solar output is currently lower and the temperature is continuing to rise despite your theories. Plus if solar were the primary cause, it would be more critical to lower output of CO2 since this compounds warming. Look, you can see how the solar output is lower than previous output here: <img src="http://upload.wikimedia.org/wikipedia/commons/thumb/0/0d/Solar-cycle-data.png/280px-Solar-cycle-data.png"> </img> The temperature, on average, just keeps on rising, though. You'll have to describe what time periods. Historical time periods reveal that CO2 aligns pretty well with temperature change. So when did CO2 molecules start absorbing IR? LOL. First off, you mean "off to the left" not "farther to the right" on this chart of the electromagnetic spectrum. If you DID mean "farther to the right" then you are suddenly concerned that CO2 isn't/is efficiently absorbing microwaves. Further off to the left, however, and the energy stops being heat and starts being ultraviolet, x-rays and gamma rays. None of which are really important to the purposes of this discussion. In fact, infrared is defined as being from 1 to 100 microns in wavelength which is the entire graph that I just posted.