To be fair, we only actually see about half of the C's bridge. For all we know, the rest of it really could be as epic as an Enterprise should be.
For instance, Lt. Castillo is found under a smashed console. There's probably a lot of space between it and the viewscreen (which we never see), since it obviously wouldn't make sense to have a console directly in front of the screen.
In the end, though, it just looks like a battle bridge.
It actually looks significantly weaker than the battle bridge as we see it in "Encounter at Farpoint"