It will without a doubt bring the issue some attention. I really doubt it will backfire on them since they are affected by the law. If they were to black out to support the freedom movement of South Ubeki-beki-beki-beki-stan-stan then people might start to worry but not something like this.

Might even be effective since 95% of the country has no idea what SOPA is but they will notice they can't settle their argument about what year Nazareth's Love Hurts came out.