Have you tried adding the secure sites to the trusted ones in IE ?
Open Microsoft Internet Explorer.
-Click Tools, and then click Internet Options.
-Click the Security tab, and then click Trusted Sites.
-Click Sites, and then click to clear the Require server verification (https:) for all sites in this zone check box.
-In the Add this Web site to the zone box, type the site addresses that are currently being blocked.
Its a bit of a pain if you have a few sites to add but that should allow them.
Its possibly that your security settings are set a little too high