This is a good idea. Unfortunately if you have ever in the past (foolishly) answered these security questions honestly, you can't just now start answering them with your password, unless you keep track of which sites have your honest answers and which sites you just gave your password again.
Did I answer "Ste-Citée" or "Ste-Citee" or "Sainte Citée" or "Sainte-Citee" or ... oh, too late, only had two chances to answer. My account is now locked.
