Mutual authentication can mean a few different things in practice.
* You can upload your own SSL certificate to the Tomcat keystore that can be used to authenticate the Alfresco server to users logging in via SSL.
* The Alfresco authentication chain can be configured for external-auth, delegating the HTTP authentication requests to a third party that can implement whatever you need.
* Alfresco is working on a SAML module for Alfresco on-premise that can allow a 3rd party iDP to handle authentication. This includes Alfresco confirming the server identity (though a certificate) with the iDP. This module is currently planned to only be available for Enterprise Edition.
What are your requirements around mutual authentication?