Saudi Arabia has no economy except for fossil fuels. They've been trying for decades to build an alternate economy and every initiative has failed. The situations aren't remotely similar.
The US controls the global reserve currency, is the world's largest economy, has a $65k GDP per capita, is a massive manufacturing economy (#2 behind China), is by far the world's leading technology economy, and has 2x the wealth of the next closest nation (China). That reserve currency is presently under zero threat from other currencies in terms of being replaced. Why does that matter? It gives the US the ultimate financial weapon for dealing with its federal debt. It's a special position no other nation has.
Currently the US is paying about the same rate for its new debt as Greece and Italy. The Fed can continue to gradually press that lower until the point where the US is issuing zero yield debt as in the case of Japan. That means the US can - fortunately or unfortunately - afford to take on a lot more debt yet. Most likely 2x GDP or more, before there is a serious problem.
If more aggressive debasement becomes necessary, the US owns about 35-38% of all the world's wealth, and has 40% of all the world's millionaires. The US is adding wealth faster than any other nation, and was responsible for adding ~55% of all the world's new millionaires in the prior year. That wealth, along with the massive US income base, represents the Fed's room for debasement to deal with the debt (inflating it away in one form or another). US output per capita is about 2.5x higher than Saudi Arabia.
Saudi Arabia has none of those advantages.