How do I create a Favorite Contacts shortcut on Droid X?

Some widgets might only be able to be placed once. If you only want one instance of it, but on another screen, just long click (click on the widget and keep your click/pressure on it or keep your finger pressed to the screen) till you have control of it. On my Android device I feel a vibrate and the widget shakes on the screen. Then just move it where ever you want. To go to another screen hold the widget to the edge of that screen and you should be on the the next screen.

Another tip that might be easier than moving apps and widgets on homescreens, just long click on them till you have control and remove them by dragging to the bottom of the screen. Then go to the screen you want and add it. Long click on an empty space of the homescreen and choose "widgets" then find your widget and add it.

Update: So at the very top of my widget list is something that says, "Get more HTC widgets". You could see if you have that. Not sure if Motorola has their own option there or not.

Also try looking at your widget list and then see if you have "Contacts" or "People". On my phone I have "People" and that allows me to add one of those favorite listings for my contacts.