In Illinois about half the real estate tax bill goes to the local school district so any effort to change the property taxes impacts how much money local schools will have. Even if the change is revenue "neutral" you are going to change who is paying and the individual "payment" will now be going to help a broader community so likely means a reduction in spending for higher spending districts.
All of which means real change (which we could use) is difficult if not impossible.
Fund schools, infrastructure, libraries, medical services