You make this statement as if it's fact. The actual reality of the matter is that neither you nor I know how research would progress were the government not stepping in and spending on our behalf. Your kind of argument is what is used to justify increasing amounts of government taxation and spending, over trusting the private sector to figure out ways of doing so, and the suggestion that government is the only way of incentivising the research you speak of is entirely lacking in imagination and faith in basic human ingenuity to solve problems.
Yes, there are coordination problems for projects at some scale, for which government involvement makes it possible, however these are far fewer than we are made to believe.