Townhouse Pinouts conflict with equipment pinouts

[sloporto]

I just moved into a new rental (townhouse) and a previous tenant cut all the RJ45 wires in the wall jacks. In attempting to rewire the RJ45 wall jacks I found that the previous wiring was using the A pinout. Although they cut the wire, the RJ45 jack still had the wires in the pinouts and it was wired to A. When I rewired to B and then plugged in a standard CAT5 cable to the jack and then tested it with an UbiGear Cable Tester, several of the pins didn't match up because obviously the end in the hub in the closet must be wired as A pinout in the modular plugs. What I'm trying to do is take the internet access coming into the house from Xfinity through my wifi modem and feed it into the wall jack to the wiring hub in the closet, in order to feed it out to the rest of the wall jacks in the house. The issue/concern is that on either end of the layout would be a wifi modem feeding the data in and a computer in another room trying to use it, I would expect that they would be using the B pinout. Is my only option to reconfigure the RJ45 wall jacks to B pinout and put on new RJ-45 CAT5 Modular Plugs on the other ends of the CAT5 cables that are in the hub in the closet to be the B pinout?