By using a meta redirect instead of a redirect header, you can alter the referrer in Firefox and IE, but not Chrome, as mentioned here: https://stackoverflow.com/a/2985629/160565
You can consistently clear (not change, but eliminate) the http_referer by redirecting through an SSL page however.
To save yourself a redirect, you could also check for browsers that support the rel="noreferrer" html5 attribute and use that instead in those cases. I believe currently that's just webkit browsers. http://www.whatwg.org/specs/web-apps/current-work/multipage/links.html#link-type-noreferrer