As far as I understand the Motorola system it is an IP based wireless network. The receiver, like your broadband modem / router, has an own IP address with subnet etc... and the cameras log-on to the receiver. As long as you cannot figure out on which address these cameras try to communicate it will never work with any other router.
To power up your receiver you may have to check the power adapter, some systems require a very strong power supply with high amps, especially the little dated systems.
Check
this one for details of your system.