I suspect that it's a mental error to imagine that there's one ideal ideology to start with.
For example, I think the founding fathers of America envisioned that the federal government would be smaller than the state governments. It's not completely insane to imagine supporting true libertarians for a federal government and a progressive left wing party for a state government.
But people aren't that mentally flexible. If they vote right wing for federal government, they will never vote left wing for state government. And so, despite the fact that capitalism can solve certain problems quite efficiently, the fact that it's utterly unsuited to solve our most common problems like making sure people have basic essentials means that libertarianism is a bit of a dead end, unless people can actually learn to think flexibly.
This is one of the basic reasons why Political Compass Memes is such a bad idea. It encourages people to lock in their political identity, rather than remain flexible, and centrism isn't the answer, either. We should be trying to use the right tool for the right job.
I would also like an answer.
The only one I've thought of is to change to a constitutional monarchy like the UK and put me in charge. (Obviously, it would be me because I am the one waving the wand.) The king would have absolute power to resolve constitutional crises, and would otherwise just have a ceremonial role.