^ The jury seems to be out on the tyre-width vs drag thing off-road. On smooth tarmac - the consensus is that narrow is good, except with ultra skinny race tyres where the drag seems to rise again once you get too skinny (something to do with there being an optimum size and shape of the contact patch).
Offroad - lots of views and 'tests' based around an hypothesis that the bigger tyres can be better in mud (as they sink less) and on gravel strangely. The thinking on gravel seems to be around the larger tyres being able to flex more as they ride over stones, and then return that energy to the rider with the higher 'elasticity' (for want of a better word) of the fatter cushion of the rim and tyre. No absolute consensus mind you. Everybody does agree any extra weight caused by the fat-rubber is a pure negative though - both in terms of extra mass to lift in climbs, and the extra rotational inertia that's there accelerating (and I've just realised, obviously braking too.. ).
All said and done - I wont be rushing out to buy one of those fat-tyre beach-bike lumps you see the occasional chap (and it is always a chap) out sweating on anytime soon