Methane feedbacks are included in the latest climate models. There is, of course, some degree of uncertainty about the precise magnitude of such feedbacks, but to say they're not included in simply wrong.
See, for example: "Response of Methane Emission from Arctic Tundra to Climatic Change: Results from a Model Simulation", T.R. Christensen (Dept. Plant Ecol., Univ. Copenhagen, Oster Farimagsgade 2D, 1353 Copenhagen, Denmark), P. Cox, Tellus, 47B(3), 301-309, July 1995. Or, if you'd like something more recent, try "Potential feedback of thawing permafrost to the global climate system through methane emission", O A Anisimov (State Hydrological Institute, St Petersburg, Russia), Environmental Research Letters 2 (October-December 2007) 045016 (and all its references).
Of course science doesn't know everything. What annoys me is when people who don't know what they're talking about assert that science doesn't know something that it actually does.
Dunc I remember when those were made I also remember the announcement at the time that the scientific community stated that they had been caught completely on the hop by it.
I haven't googled anything, this is just memory.