Yes, the capsule should be independent from the launcher. I suggest you use Multistage Titans with the capsule as a live payload.
There were fuel display gauges for each Titan stage on the cockpit, but I don't think there was any other relation. The Titan was not controlled from the capsule.
That is wrong - the Titan could have been controlled by the capsule, especially in abort situations. But normally, the Titan controlled the capsule.
Especially for the abort situations, I think its better to have our own implementation of the GLV, but of course, I wouldn't forbid anybody to launch the Gemini on another rocket.
The problem here is free time to complete it...
So my suggestion is to implement a simple generic 2D panel like on Mercury X.
Don't worry, this is all the plan for a whole year. Even a rough VC in that time would be better than none. Of course, with VC, also mean the rest of the (visible) interior and I want to focus on the commander position there anyway, since the pilot was mostly busy handling subsystems which I won't implement in the next year.