Not only that - if you blast the thing into small pieces, most of them may miss the Earth completely. You will still have to track a lot more objects, but between being dead and having to fund such a project, I am certainly in favor of #2
They are completely different things. Star wars was meant to intercept immediate threats minutes after detection with light sub-orbital missiles with conventional warheads. A deep space shield would be Energia or Delta IV-class boosters with high-yield nuclear payloads meant to intercept targets years away months after detection on varied mission profiles adapted to the composition of the specific threat. It's a completely different game.
