you dont run teamspeak with shipsim as a single program if you will,
you just connect to your desired teamspeak channel/server, use the settings to select a hotkey to activate your microphone, so in this case say its "ALT" click ok or whatever
go into ship sim and just carry on playing the game as you would and if you require to talk hold down "ALT" in this will only allow you to talk to people in the same server (in teamspeak not in shipssim) or you can have your microphone on voice act5ivation instead of using a button (key) to talk.. not sure if this helps much?
i'm having trouble finding an active shipsim teamspeak server thats in use....