How will the crazies respond? Will new cults start? Will this mean the end of organised religion on earth? Or will it just mean a fresh batch of religious wars?
Obviously Pat Robinson will raise funds on TV in order to built a space vessel to transport missionaries there to spread Christianity to the martians. And probably something about Sally Struthers and Ethiopians too.
On a more serious note, I believe the most meaningful impact would be possibly answering the big questions about the origin of life. It is hard to make generalizations of what 'life' is when you only have one type (DNA based) to study. Also, finding truly alien life somewhere so close could say something about the abundance of life in the entire universe - right now it's complete guesswork.