Often the first sign of a worn fuel pump is a failure of an inline connector due to the higher current draw. Roughness in the pump cell can double its power draw without losing pressure. I lose track of how many D1's and late RRC's I've had to cut out bad connectors by the rear muffler and replace the pump housing and connector cable.
Now if you want to isolate the LPG from the fuel pump circuit (very wise) you'll need a solid ignition source. The plain white fat wire off the ignition switch is my source of choice. Fit a 10A line fuse. You'll then need a safety-cut-out wired between the switch and the gas valves. Example:
Brand New Peel LPG Safety Switch | eBay
This will mean that you can run the car on LPG even if the fuel pump blows the fuse. Cheap LPG installers do the fuel pump supply because it's $25 off the cost for them.

