I do not mean submitting an HTTPS login form, which works just fine, but forces a full page refresh. I mean capturing a submit and sending the credentials via AJAX, but to HTTPS, which is forbidden by the security sandbox. You end up doing various unkosher things like bringing up the login form over HTTPS in an iframe while the site itself is brought up over HTTP.
Yes, this is fundamentally insecure, and I am aware that this is not a problem with Backbone specifically, but a general problem with the approach of building browser apps without page refreshes over HTTP for everything except for the login screen.