The same way that social media has destabilized the USA.

By exposing people to a flood of misinformation and politically radicalizing content designed to maximize engagement via emotion (usually anger).

Remember when Elon Musk alleged that he was going to find a trillion dollars (a year) in waste fraud and abuse with DOGE? Did he ever issue a correction on that statement after catastrophically failing to do so? Do you think that kind of messaging might damage the trust in our institutions?