All questions are in bold for ease of use.
The major carriers in the United States participate in NSA surveillance (except for T-Mobile apparently, because it's based outside of the US. Except they bought Sprint, which participates.) and that, along with other major privacy issues, means that the market for private carriers is incredibly slim. When I found out that some carriers, such as Mint Mobile, piggyback off of Verizon, I wondered: What's stopping a carrier from simply E2EE everything from Verizon, and then using Verizon to transfer the data? Obviously, the encrypted data could still be collected and sold, but it wouldn't matter if the encryption was setup properly, right? I'm looking to better understand how this works, and, if a solution exists, potentially be the first to make it happen. The reason I'm not suggesting creating a carrier without piggybacking is due to the sheer cost and lack of support it would have, which would lead to poor adoption. Also, if carriers simply don't support E2EE, couldn't carrier locked phones install the software (since most install software anyways) required to make E2EE work?
Browsing most websites is E2EE. When it's not, that isn't something a phone carrier or ISP can fix because they don't control the web server. The traffic will be in the clear between the ISP and the server.
For secure messaging without a third-party app, phone carriers in the USA seem to be pretty onboard with Google RCS, though I think I'd recommend anyone who's serious about security use Signal instead.
Thanks for elaborating! I'm curious about two things
How are DNS queries handled over cellular?
Is traffic E2EE between the phone and the cell tower, or could anyone with a laptop sniff packets of phone calls OTA with Wireshark?