>Someone in the prediction market might agree that free higher education reduces inequality but might also think that it will increase the government’s cost of financing its spending. The latter is what usually gives politicians trouble with financial markets. How would a prediction market resolve this issue?
One approach would be to have multiple markets, that track endpoints like inequality and interest rates separately for any given candidate policy.
In the best case, prediction markets could give you accurate forecasts on a large number of candidate policies, and you could select a policy that the market thinks does a pretty good job according to lots of relevant endpoints. (My hunch is that our current system is bad at searching for such win/win policies, preferring instead the drama that comes from clashing over win/lose policies. For example, you mention free higher education, but how much does the average college grad really use or remember from their degree? I'd argue there is a lot of territory in apprenticeships that is currently unexplored, and smart policy could facilitate this -- especially if we start with small-scale experimentation.)
You're absolutely correct that the market can't help with moral questions such as how much government spending is justifiable in pursuit of reduced inequality. Robin Hanson proposes eventually moving to a system where the job of elected officials is to manage metrics related to what voters want out of government policies, and markets decide the rest. In slogan form: "Vote on values, bet on beliefs." https://mason.gmu.edu/~rhanson/futarchy.html