Wow 11000 miles? That is real soft. BUT, on the subject on the polarized sunglasses, don't buy the cheap ones, they just put a polarized film on the lens, you want ones where the lens itself is polarized (the cheapest ones of these I know are $160 Raybans...or if you need a perscription just about every perscription polarized lens is polaroid and they use polarized lens, not film).
Oh, also, if you wear regular glasses getting the anti reflective coating helps some, especially the good anti reflective coatings like the one made by Zeiss.