Yeah, you'll "see" alright.
As much of an advantage that polarized glasses give you, there will still be places where it is just too murky to see anything that is more than an inch or two deep (like the Fox River near Elgin).
There is, however no disadvantage to wearing them that I know of, except that you may miss the occasional shot because you were pushing them back up on your nose while sweating like a pig in mid August.

That hardly compares to the hundreds of shots you would miss out on without them because you couldn't see the fish, like when they are staring at you from just below the surfaceat 6 feet away, and all you can see is a reflection of the sky on the top of the water. [:@]
If you've got the cash, get good ones ($50 to $100).
If not, try out a cheap $10 pair. You'll still see the difference in glare reduction, and kick yourself for not getting them sooner.
Good luck.
-Bulz