We toyed with this idea at a place I worked in the late 70s. It was a videotape mass-recording center (making tapes for rental) When I started working there it was already arranged in a circle - a huge room with mass racks of VCRs around the outside, two rows of broadcast playback machines in the center to play the movies, and a control station at the front of the room. It was already halfway to the Enterprise bridge then. But the head of engineering had me do some design studies to make it even MORE like the bridge, with circular control panels. No center seat, though.
Here's a couple of the design models I did: