Incorrect IP address showing up in DNS

Problem
Windows 2003 server at a remote office has two network cards, one for general traffic and another one used with a network sniffer that was also loaded on the server if we need to track down a network hog issue.  The problem was that the NIC used for the sniffer auto-registered with DNS and sometimes would "advertise" that IP address and not the desired static IP address of the server.