You cannot run both McAfee and OneCare on the same machine. If you have a subscription to McAfee, it will not affect the status of McAfee on any other PCs if you remove it from one (although I suspect that your license may have been for a single PC only...)
In any event, if you wish to use OneCare as it is being offered to you by Qwest, you will need to remove McAfee. Be sure to activate your OneCare subscription with your Qwest LiveID per the instructions on their download page or you will need to pay for a subscription as full retail.
-steve