#3 - Oct. 3, 2010, 4:12 a.m.
You would need both a Server Transfer and a Faction Transfer to both move the character and change faction, Solomonkane. I'm afraid these services are mutually exclusive - using one would not automatically allow you to use the other.
Also keep in mind there are no longer restrictions on which factions you can have on a single server - you may have both Horde and Alliance on the same server, regardless of the type of server.