This assumes there is a strong link between government policy and the way constituents vote, which there is increasing cause to doubt, particularly at the local level.
More importantly, it assumes you can vote on the result of a policy, when in reality you can at best vote on the policy. For example, you can elect politicians who promise to lower gas prices, but in practice, their influence is limited. A more relevant example is that people may want to vote themselves lower housing prices, but who vote to restrict development in ways that ultimately increases the cost of housing.
It seems to me that it's the best we can do. How else are you going to change anything?
I can support candidates who campaign on allowing mixed-use in their zoning policy. Or I can support candidates who support keeping business, industrial, and residential areas separated. It seems that most people (not all) support the latter.