Your quilts are most certainly NOT going to fall part because of using C&C thread, assuming it's not from a brittle vintage spool (strong vintage is fine). Find something else to worry about if you must, but not the thread.
Regarding lint, I've not had lint be a problem with any C&C thread I've used and I've probably used them all at one time or another in the last 40 years. I've recently fallen in love with Star Threads, made by C&C for quilting, and have used it in several quilts with absolutely no linting at all. It's 100% cotton and, like all C&C threads, is reasonably priced and readily available.