Proverbs and Romans on Unbelieving Prayer

Questions about whether or not God hears and answers the prayers of non-believers, and thoughts about a church sign that reads (as if from God), “Just love everyone. I'll sort them out later.”  

• Does God hear non-believers’ prayers, and if he hears them, does he answer them?
• How would you evaluate a church sign that reads (as if from God), “Just love everyone. I'll sort them out later”?