Of course, FO. That's a publicly-owned flag on state buildings. That is public property, owned by the people whose taxes paid for it. If one thing America has its respect for property and law. If you asked me for the death penalty for those who would destroy state owned flags, I would consider it.
Madison's and Jefferson's concern for our flag was not about material property issues.
They both believed that the physical integrity of the flag was necessary to the sovereignty of our country. And although both were involved in international legal actions regarding the flag, neither expressed any belief that physical insults to any nation's flag could be construed as freedom of expression.
To begin research into the truth about what our forefathers thought of flag desecration, start with Endecott's Case in Massachusetts.
Go from there, then find the case of the first US flag burning that the hippified (during that time) members of the Supreme Court supported.
It's a study in the very recent degradation and weakening of our country by people who think only of themselves against what our soldiers and other defenders have given for them.