Based on the ratio of human power consumption to global net primary production by photosynthesis (not necessarily the best standard, but interesting) we're roughly a Type 0.15 civilisation at present. That's close enough to 1.0 to scare me, especially when I hear talk of chewing up more biosphere to make fuel.
Definitely uncomfortably close to "1.0", though the power level would be no problem if the collection and dissipation weren't being done on Earth.
(If I were doing the numbers more seriously, I'd start by looking at total solar input power and total radiative heat dissipation capacity. To look at a silly but physically sound possibility, however, it is possible to dump substantially more heat from a planet than can be radiated from it by a black surface at its ambient temperatures. The trick, of course, is refrigeration.) Words and ideas I offer here may be used freely and without attribution.