This Georgia law in particular is egregious in that it explicitly protects monuments that "honor" the "military service of any past or present military personnel of ...Confederate States of America or the several states thereof." I would argue they are a violation of the Equal Protection clause of the 14th Amendment as it "honors" the fight to maintain slavery of African Americans in the US. This on its face discriminates against African Americans, as it gives the state's approval of the enslavement of African Americans.
Also, if residents chose to purchase and move the monuments to a museum where they are displayed and described as symbols of hate erected by racists, and the state decided to stop that as an inappropriate measure "for the preservation, protection, and interpretation of such monuments or memorials," based on the content of that interpretation (i.e. speech), then that would be a violation of these residents' First Amendment right to free speech.