Reaching that tipping point is quite difficult though, and would require additional warming besides fossil fuels. Methane-based runaway warming maybe? Or even basic thermodynamic heat sink effects (which we'll reach in about 200 years at the current rate of growth in energy supply).
It looks like currently the TSI at Earth varies between 1315 and 1405 w/m^2 (a range of 90 w/m^2), which apparently has less effect on the temperature than the tilt of the earth. http://lasp.colorado.edu/lisird/sorce/sorce_tsi/index.html
Is James Hanson not "serious"? I agree that the consensus view seems to be that this is still an unlikely scenario.
http://news.nationalgeographic.com/news/2013/13/130729-runaw...
As far as numbers go, I'm not a climate scientist, but I have done these kind of calculations before. If I figure out the tipover temperature, I'll post it.
"When surface temperature is below the critical point temperature (647K), the surface pressure is set as the saturation vapour pressure for that surface temperature, and the tropospheric temperature– pressure structure is taken directly from the saturation vapour pressure curve. Where the surface temperature exceeds the critical point temperature, we prescribe surface pressure as 2.6×107 Pa, corresponding to Earth’s surface water reservoir." http://www.nature.com/ngeo/journal/v6/n8/full/ngeo1892.html
So first, they do increase the thickness of the atmosphere, and the increased surface temperature would come from a possible future sun (not adding CO2) I guess. Second, I wouldn't put much stock in such simplified models.
The Venus atmosphere is 50x thicker than Earth's, Venus is also ~1.4x closer to the sun. Where will all this extra atmospheric mass and incoming radiation come from?