Generally government is poor at picking winners, and inefficient, and seems like a bad place to look for inspiration in engineering. When governments set up things like NASA they become political institutions themselves. It's easy for them to grow into organisations that seek self-preservation and always more money to support the glamour of their leadership.
When government gets involved in a field, you get a cross-polination between field-experts and government people. Often the government people end up on the side of workers in the field rather than the public that they're meant to be serving.
Given all these problems, I don't think we should be attracted to the idea of governments taxing us to spend the money on difficult-to-quantify never-never projects. They could just not tax us, and then we could pursue our own projects.