360 degree flight simulator for Xplane 10 Help please

Hey guys! Lots of help needed please!!

I do have some experience (not a lot so pls be patient) with arduino but none with PC interfacing.
I was asked by a friend to build a 360 degree flight simulator (like this one https://www.youtube.com/watch?v=LVG8sJTNko8 ) I only however have to do comunication between Xplane 10 and the big motors turning the cage.
my idea currently is to use the output data for the pitch and roll of the simulator cockpit but run it through bigger motors capable of turning the cage.
So far I thought of using a continuous servo motor (if such a thing exist capable of doing this). Option 2 is using stepper motors (however as far as my research goes they have trouble with accuracy and skipping steps) option 3 was using normal DC motors with 2 relays each, getting the data from Xplane and change direction as required and knowing the position of the cage using rotation sensors.

If anyone has any ideas on how to achieve this, or know of an existing code or someone who has done this before, PLEASE HELP! I have spent weeks on research and dont know where to start.

however as far as my research goes they have trouble with accuracy and skipping steps

Only if they are too small for the job or are underpowered. So, don't make them too small or underpower them.

There is NOTHING in this post that involves interfacing with software on the PC. Your problem is entirely a hardware selection issue.

Actually I want to know how to do the interfacing which is my main problem, and which hardware will provide the least issues for programming. It is not the size of the motors im worried about, Its getting them to act accordingly that concerns me.
I think I will be able to manage with the motors etc, if I can get two small servo motors (360 degree continuous motors) to behave correctly according to the pitch and roll (as if they were the physical dials, the same way you would build a physical altitude dial for a home made cockpit) I should be able to manage from there. My main problem is interfacing and converting what I receive from the pc to turn the servos accordingly
But thank you for directing me and taking the time.