Except it's so wrong. It has been shown that the government will fund things that corporations won't. Corporations typically will only engage in R & D that has a payoff within a certain amount of time, typically much less than government funded research might yield. This is known, and examples abound.
And here we have new motors, the result of government funded research. Are you saying the motors don't now exist?
When the government does something, you see the thing the government did, and you reason (often correctly) that had the government not done it, it wouldn't have been done. However, what you don't see is what those resources could have produced had they not been taken by the government. And what you fail to factor in is the cost of all the research that doesn't produce useful results.
Yes, you need the government to take risks so bad that nobody's willing to take them with their own money. But it stands to reason that the vast majority of the time, the costs outweigh the probable benefits. We'd be better off without it.
Had the government not taxed the wealth that funded that research, those who produced that wealth would have used it for things they value more.