Computer will not recognize phone with USB Debugging enabled
The problem lies with the type of USB driver you have downloaded. They are two types of USB driver's.

1.Type1

2.Type2

Type1 USB driver is used only for file transfer and personal purpose like backup etc.

Whereas type2 USB driver is used solely for debugging(development). You need to download the Debug driver for your Motorola Droid razr

You had downloaded the type 1 driver so your device didn't get recognized by eclipse(or ADT).  In order to get your device identified via the debug enabled option download the latest debug driver for your device.

Follow this  link on downloading the device drivers for your device