I'd like something along the lines of federal rent control. Limit the rent that can be charged to reduce the profitability of buying up house after house. This would be unpopular with the current owners of homes as it would lower property values, but over time they would remain much more stable.
in any case, part of the solution is to equalize the capital gains tax with income tax rates and have the capital gains tax escalate with the number of homes owned (but keep a small tax advantage for long-term owners of a primary lived-in home). and get rid of 1031 exchanges for investment property, which greatly advantage large capital holders over the average citizen.
No politician will vote for this because they know where their bread is buttered. It would be suicide as they would find out when they lose every large donor. I doubt we'll ever get people into office that would vote for anything to disadvantage property holders.
Even if you vote it in through a referendum, I expect a judge will crush it through some weaselly interpretation of the constitution or other precedent. California in particular has had several major referendums reversed by the courts. Will of the oligarchy, not that of the people.
It is entirely different to move your company or business to another country vs another state. Most people are not going to expatriate and most companies wouldn't gain much from doing so. Property is already much cheaper in Mexico, but you don't see anybody with a high-skill workforce moving there.