This comes amid the National Enquirer exposing Bezos having an affair as a married man, publishing text messages between Bezos and his mistress, and Bezos attempting to investigate how these text messages leaked.
There are rumors a "government entity" leaked the texts to the National Enquirer. If so, and Trump ordered this to score political points and shame Bezos, it's hard to see how he wouldn't get impeached. You think he'll survive that?
If there is evidence of this, articles of impeachment will probably get filed, and the democratic congress would probably impeach if the articles said he was driving 1 MPH over the speed limit, even though Trump doesn't drive. I would suspect Trump would release information regarding his campaign being spied on by the Obama administration not long after evidence that he ordered the CIA to hack Bezos' phone, which will probably mean he survives (I wouldn't necessarily continue to support him, but that is my prediction).
The "rumors" are actually Bezos' head of security (who is investigating the hacking) saying he believes this may have happened. I would note The Washington Post (wholly owned by Bezos) has gotten many stories wrong about Trump, and have been so wrong that months after the fact, I suspect they were made up to make him look bad. WaPo is so anti-trump that one of their editorial writers blamed Trump on one of the hurricanes last year. It has been claimed Bezos lets WaPo have editorial independence, but I don't believe it.
IIRC, the head of security for Bezos previously though the brother of Bezos' mistress was the one who leaked the texts (he denied it), and has not proffered anyone else who might be responsible; in essence he said "it is either her older brother, or Big Brother"
This whole situation makes a good case for encryption though, so I love it.
This really depends on the details of how the texts were stolen/the phone was hacked. If the actual phone was hacked, encryption would not do anything because the hacker could obtain the decryption key when it is in the phone's RAM, which would be as frequent as the phone reads/accesses text messages. If the texts were intercepted between the two phones (eg via cell towers), then maybe encryption would have protected him, although I understand iMessage uses encryption the government was unable to break as of 2015. I am not sure if Bezos and his mistress were using iMessage or not.