I hate to give the unpopular answer here, because I'm a really big fan of MC overall.
But here I go: I've experienced problems like yours with MC and ripping CDs. So I abandoned it very early on in favor of an external ripping program. I chose XLD because it has a good reputation, supports Accurate Rip, and has several modes to retry bad reads from CD to try to get the cleanest rip possible. I've ripped hundreds of CDs with no problems. I've had some scratched CDs that were really hard to get a clean read from, but no interface issues, no failures to detect the CD, or anything like that. It just works.
To be fair, the last time I had problems with MC ripping disks was probably close to 12 months ago. A few months ago, I said something about it, and Jim "challenged me" to try MC again and I did. At that time, ripping 3 CDs I had ZERO PROBLEMS with MC ripping CDs. So I don't claim to know what's going on exactly, because MC clearly works to rip CDs reliably for me, sometimes, and other times, and for other people, it doesn't. Frankly, as amazing as MC is, it's just not worth my time to try to track it down because XLD does the job. So I can just use MC for everything else and be happy.
Good luck!
Brian.