Go for it! They can put them right next to the Declaration of Independence and/or the Liberty Bell....Or maybe they can put them next to a “Obama is a god” statue.
Washington, DC was laid out and has laws to this day so that nothing in the city can be above the visual sight of the Washington Monument. It was to, and does, dominate the DC skyline. There’s a 13 story limit on buildings in the city to carry out that rule.
I anticipate all the rules, laws and history will be cast aside when they plan the Obama Monument.