You cited a US law there. If you are a citizen of the United States through any other means beside birth on US soil, I would not do anything currently to put a spotlight on that like making a name change. The current administration is obsessed with expelling people and their efforts are coming up short so they keep lowering the bar for who they go after seeking the smallest excuse to deport people to make up their quota.
Maybe revisit this idea in a few years or if you decide to leave the country for more sane lands.