Either you make the judgement you can outlast the CEO, or you should be thinking of your career outside of the company.
Unfortunately employment market culture of really far more rapidly changing careers than the foundations of the American industrial economy was used to, hasn't gotten updated on the leadership durability model. Which has been grossly extended by special voting rights and the abandonment of embarrassment for misdemeanour leading to resignation which is almost gone as well as the possible reason why metoo etc was so explosive when we realised that some unacceptable behaviour really is unacceptable.
There's more than merely the benefit of the doubt happening here.
Far be it from me to spurn a compliment, but as an American, this seems utterly backwards.
The best thing in a parliamentary system, that is lacking in the US, is the ability to have a vote of confidence and dissolve the government if necessary - the lack of this seems like the structural core of our government's dysfunction, gridlock, two party polarization, and opposition to the will of the people.
Conversely, two terms maximum is just a rule that wasn't always so.
If a politician doesn't lose support, why shouldn't they keep running the government? The important thing is that they do lose control whenever they lose support.
...and the American system may have been more lucky than well-designed historically in not becoming victim to what they call an "autogolpe".