Burkeholland,
As you requested in a previous post I have tried using the AD Profile Update web part over SSL.
When you are refering to SSL I assume you are mean running Sharepoint/IIS over SSL (443). If you are refering to running LDAP over SSL I have not tried this since my AD LDAP runs over 389.
So the bad news is that the operations error occurs over standard web traffic (80) as well as SSL (443) running a self signed cert.
I have also tried messing around with the LDAP string and sill get the DEBUG DN, but no go on the password reset.
LDAP://ADSERVERNAME
LDAP://DOMAINNAME
LDAP://ADSERVERNAME:389
LDAP://ADSERVERNAME:389/DC=domain,DC=com
I will keep poking around as time provides and let you know if anything changes.