Consoles would be split into two functions. The lower console would contain all buttons. The upper console would be solely for displays. This would allow for everyone to sit in a chair - No standing on the bridge during red alerts! Chairs are mounted into rails that slide only forwards a few feet, and back to get out of the chair. All bridge chairs would have seat-belts. And the bridge itself would have a mandatory duranium roll cage to prevent parts from falling down. (Or - here's a thought - shut off gravity during red alerts!)
Also, during Red Alerts, each position wears a mask, and the oxygen in the bridge is replaced with non-flammable gas.
Instead of a viewscreen, a holotank that would allow for 3d representation of the sensor scans, with helmsman and weapons officers on either side looking in, similar to what you see at ESD and other places with ship plans.
The computer would auto-greenscreen a Federation fleet logo background to the captain's head whenever talking with aliens.