What will that "unified speed" or in reality perhaps "speed range" be? (A diagram in the document indicates a current range of 80-105mph from Plymouth to the Reading side of Westbury and 110-125mph from there to Reading)
The maximum line speed on the Berks and Hants is 110 mph. This consists of a 110 mph section around Newbury and 2 110 mph sections between Pewsey and Westbury. There are no 125 mph sections. Due to the curvature of the route in many places significant speed increases are not likely.
The Main Line (MLN) from Bristol to Exeter would be much more suitable for any speed increase.