I think there are two issues:
1. Is it OK to lie to the government?
Personally, I'm upset enough at the federal government that I enjoy lying to them. And yup, that's unprincipled and immoral of me, because in general I believe that lying is bad and two wrongs don't make a right.
2. Are we shooting ourselves in the foot by making them waste more of our money?
This seems like a weak argument to me. After all, if you go out on a protest march one could argue you're making the government spend more money (police, etc). Certainly if you get arrested for protesting you're costing taxpayers money. ANY effective protest will require the government to respond in some way-- costing money...