There is a club that meets at the Sonic in Hope Mills, Sandhills Mustang Club, they have a Facebook page. There is a drag strip by the airport that usually has a test and tune night. There is a post below Fayetteville / Hope Mills Cars and Coffee that meet once a month by the movie theater in Hope Mills. That should get you started.
The junkyards around Fayetteville are ridiculous and most of the time wanted more than the part was worth new. I had great luck with Craigslist for finding parts. The drag strip is not the greatest, but its nice to have a place to go run.