I searched and found a partial solution to removing the emails from the "People block.
Via this page:
https://moodle.org/mod/forum/discuss.php?d=347915
However, once I click through to the profile you can still see the email. I read users can opt out of this if they want. However is there a way to remove them from all?
Perhaps I am paranoid, but I think someone may come in and try to steal or download their emails.