"Slaying the Sky Dragon" - a critique

I had intended to review the book "Slaying the Sky Dragon" (by a number of authors), but I've decided not to buy a copy. Three of its chapters are now available on the 'net in pdf format. I've read the two chapters authored by Claes Johnson, and I have to say that I'm staggered by their assertions. It doesn't take a climate physicist to see the erroneous assumptions that the flawed arguments are based on.

The chapter "Climate Thermodynamics - 4 Lapse Rate and Global Warming/Cooling" starts off badly:

The effective blackbody temperature of the Earth with atmosphere is -18C, which can be allocated to a TOA at an altitude of 5 km at a lapse rate of 6.5C/km connecting TOA to an Earth surface at 15C with a total warming of 5 × 6.5 = 33C. The lapse rate determines the surface temperature since the TOA temperature is determined to balance a basically constant insolation. What is then the main factor determining the lapse rate? Is it radiation or thermodynamics, or both?

Mr Johnson may be a mathematician, but he's not a climatologist nor a physicist. I'm none of those, but I can spot the equivalent of a "schoolboy howler" when I see one. Let's analyse the first sentence; TOA (Top of Atmosphere) is considered to be around 23 km altitude. The "-18C" has to have been calculated using the Stefan-Boltzmann equation, using the average radiation-to-space value of 240 W/m² (watts per sq. metre). This does indeed give a result of -18°C, and the average temperature at a height of 5 km is indeed -18°C, but there's a snag. The radiation to space comes from more than one source, and its profile is not a complete Planck curve, as required if the Stefan-Boltzmann equation is to be used.