Back in the day I used to choose polarized sunglasses over others. On a recent tour I did what I often do - broke or lost my sunglasses. I stopped at Fred Meyer for provisions, including a replacement pair. I saw some polarized ones that looked good. I bought some. It turned out the plastic face on my bike computer was also polarized and the combination meant that I couldn't read the numbers - unacceptable. I stopped again and bought another, unpolarized pair.
My 2 cents is that before buying polarized you should check them out with your bike computer, gps, and any other device you might be reading as you're riding along.