When a high power (megawatts) laser hits a surface, even a mirrored surface, the effect is more like a hammer than a reflection. This was studied extensively during the SDI program. Chrome plating missiles is, in the long term, ineffective; the beam transfers energy kinetically like a bullet, not through heating effects.

That said, it might work for now against kilowatt lasers.

Edit: an interesting and non-theoretical example of catastrophic optical damage is the "fiber fuse" effect: a spot of light burns its way along the length of a strand at about 1m/sec (destroying it as it goes). See this video (the narration is in Japanese):

http://www.youtube.com/watch?v=BVmIgaafERk

That is such a crazy concept it just might work. The logistics of it are mind boggling, but other than mirror-heat I cannot see too many huge issues with it right off the bat (aside from logistics).

> The logistics of it are mind boggling

Could you elaborate? I don't think it would be just as simple as putting a big mirror on a Predator drone, but then I can't see it being that much more complicated.