To complete your rebuttal to the statement "not by a greenhouse effect, but by the raw power output", it's important to compare the magnitude of the greenhouse effect. It would be easy to draw the wrong conclusion, and think that mankind cannot impact the temperature of the planet because it already gets so much energy from the sun that our actions don't matter. This is incorrect.
As you say, the sun provides approximately 172,000 terawatts to the Earth, due to a solar irradiance of 1360 W/m^2 over the planet's cross sectional area of 1.27x10^11 m^2. While this is the correct value for the amount of energy received at the upper atmosphere, only some of it is actually absorbed by the Earth. Currently, approximately 30% of this energy is reflected back to space.
Anthropogenic radiative forcing was estimated by the IPCC in 2011 [1] to contribute approximately 2.29 W/m^2. This is the difference in solar energy absorption caused by human activities (such as releasing CO2). Multiplied by the area of the Earth, this is 290 terawatts of energy, which is many times greater than world energy consumption.
Also note that this figure is rapidly increasing - compare to 1.25 in 1980 and 0.57 in 1950 in that report, or 1.6 in the 2007 report [2].
[1]: http://www.ipcc.ch/pdf/assessment-report/ar5/wg1/WG1AR5_SPM_..., see page 12
[2]: http://www.ipcc.ch/pdf/assessment-report/ar4/wg1/ar4-wg1-spm..., see page 4