Have'nt even started to try this but should work. We all need more power - so, lets try opening up the exsisting power suppy and put some quality wire [small guage but well insulated] to the AC plug and run it heatshrunk with the exsisting cable.
At I-Opener side, bring AC into base. Put your power supply of choice in the base unit; use a LM337/317T to regulate if its a small wall mount type. :)
A trip to digi-key might also reveal some interesting battery backup options as well [all sorts of ni-cads].
Important yet overlooked: note that the wire from exsisting PS is VERY flexible. Test lead wire?
God im gettin giddy now: how bout a solar cell charger that flips down to protect LCD