What about putting them in museums? How would that work?
I also would like to suggest that in the USSR, Germany, Italy, and other places monuments are and were regularly removed, melted down, and or replaced during and long after regime changes all the way back to Egypt and Mesopotamia. People who argue to preserve monuments in their original locations are essentially arguing an opinion without basis in historical facts. "Preservers" are making the argument based on an opinion of moral rectitude much like the anti racist Americans who would like the monuments removed for moral reasons.