I would have no trouble with hiding "https://" in the address bar, as long they show it for other protocols (including http). It might help move us to a world with https everywhere even faster.
I still prefer Firefox: protocol, subdomains and path are greyed out but still clearly legible. This way I can eyeball "on which site am I?" quickly (and read google-secure-payments.google.via.net as via.net for example) and still have access to the full URL in 0 clicks.