To add a little bit of confusion to my solution stated in the previous post, removing these ( ) by editing my contacts phone numbers, now properly shows all the names of the individuals who are in on the test message, however text messages from a single contact show, in the message header, the contact name and phone number but with the ( ) added back in.
It appears that Phone Link displays the message header with the ( ) even if the phone numbers entered in the data section do not use the ( ).