Scars should be worn with pride. They are a testament to the fact that you've lived, and that you've seen more than butterflies and sunshine. A lot of people find scars attractive because they are evidence of an active person, and of someone who truly invests themselves in their lives. I've a few good scars (all of them well earned, let me tell you), and never would I even consider trying to dispose of them in some way. They're a means of remembering where you came from, or, at least, that's my belief. What doesn't kill you, eh?
I've a massive one on my hip from a minor brawl a few months ago, a few on my hands from childhood bush whacking, quite a few on my few because, apparently, in my youth, I didn't like to wear shoes all that much, and my entire left knee is scar tissue due to a bicycling mishap when I was 12. I love 'em all, though.