As I know Squeezebox is integrated with LinuxMCE in following manner. You add it to the system. The system recognizes it, assigns it to the specific room (that room should have any MD) and install SlimServer. After quick reload router when you choose the room with Sqeezebox on Orbiter, go to audio section and choose some song to play the system automatically will transfer request to the Squeezebox and it starts play the music. Theoretically, you should be able to control Squeezebox from its remote but I'm not sure in case of LinuxMCE.
You can try SlimServer web ineterface - http://you_core_ip:9000
. But be sure that you add port 9000 on the Firewall page.