Anyway, the system doesn't have to be perfect. If you significantly raise the barrier to turning stolen phones into cash, you'll significantly reduce the rate of theft.
If you really care about the victims, you'd use the warrant not to attempt to render tools to trash dumps, but instead use the warrant to query the networks. You know, perhaps give SWAT something legitimate to do... That seems like a deterrent for future thieves and a way to catch current thieves; or at least easier than catching copper thieves.
The argument could be made that you'll merely shift theft into other areas rather than reducing it overall. But it's real hard to make the argument that making it hard to fence stolen cell phones won't reduce cell phone theft is a pretty hard sell, especially if a carnival game is the best argument you have.