This is the response we received from JMP Technical Support.
JMP is not licensed to be installed on server machines. The installation of JMP on server machines is possible, but not allowed. The licensing agreement does not permit JMP to be installed on a server at this time. At this time, JMP is only permitted on desktop operating systems (Win XP, Vista, 7 and 8, Mac, etc).
Our system requirements are listed here:
http://jmp.com/support/system_requirements_jmp.shtml