I know, I'm mean, because I will always have to use this screencap from "The Cage": http://tos.trekcore.com/hd/albums/1x...cagehd0032.jpg
Okay, it obviously doesn't have an accurate match of live footage and VFX model (something they could or should have fixed for TOS-R) but the general idea of size is conveyed, IMHO.
The problematic item here (and on the stern of the bridge with the regular series VFX model) is the shape of the turbo lift housing on the back.
Even if we were to assume a bigger ship and a bigger bridge dome there'd be no way that a standby turbo lift car in that housing could just move forward to replenish the bridge with a new turbo lift car. The "bottleneck" passage would be just too narrow.