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a version or something totally different?

My guess is they will build a rocket for that. If it is moving people, you arent going to pack them into a rocket like a can of sardines. Need seating so it will have to be designed.

This was the SpaceX plan from 7 years ago ;)

I had never seen that but it is evident where their thoughts were going. Couple that with their reusable rocket technology. One difference is I dont see it being on barges. Instead, it will be more like an airport with launch pads everywhere.

People will get off the rocket and will them enter a terminal similar to today.

I agree but you can see the vision they had :)