Via TPM, the White House has responded to the petition to build a Death Star:

This Isn't the Petition Response You're Looking For

The Administration shares your desire for job creation and a strong national defense, but a Death Star isn't on the horizon. Here are a few reasons:

• The construction of the Death Star has been estimated to cost more than $850,000,000,000,000,000. We're working hard to reduce the deficit, not expand it.
• The Administration does not support blowing up planets.
• Why would we spend countless taxpayer dollars on a Death Star with a fundamental flaw that can be exploited by a one-man starship?

Perhaps the previous administration would have been more amenable?