Is there a wireless router that accepts a Verizon USB aircard so I can use that aircard for a home wireless network?

As long as BOTH parts are based on the 802.11 standard then yes.

Does anyone know of a specific wireless router which has a usb input port that allows me to use my Verizon USB aircard to create a home wireless network? Thanks

Check D-Link's site.

The Verizon Aircard is for the Verizon cellular network. It is not the same wireless technology that is used for wireless computer networking.