When life gives you lemons, clean your bathroom. :D Simply slice a lemon in half and rub it on any hard water stains and rinse clean. Vinegar can also clean away chalk from hard water (I use it for the shower head)
like the idea, i would pick a different basket though. Nail this basket to the wall for a place to store hand towels in our downstairs half bath. The baskets handle is used to hang the towels for guests to dry their hands.