I wish I would have taped this match...
About a week ago, I was getting bodied by a Sonya player who knew his stuff and mixed this in on wake-up. He won the first 3 matches this way. About an hour before I was getting beat by Erron Black's string in much the same manner. Then, I blocked it a few times and won one before he switched to KJ to body me again and bounce. So, I started blocking her string. The key is to MK block - not SF block. Hold down to block low and release the pad to block the overhead. So, once I blocked it the first time - it became easy to recognize and block. Then, he had to cancel out of it with specials to stay safe - but they're reactable - so I was blocking those too. After I bodied him for 5 in a row, he tapped out. Then, I hopped into practice mode and practiced blocking Kung Jin's strings. Then, I bodied a few Bojutsu knuckleheads (Bojutsu has been the bane of my MKX existence) before going to bed. Then, I dreamt of blocking these strings and punishing with Sun God's 114 ex air throw starter.
Not everyone is willing to lose to learn something, but you don't have to. Just AI record the strings in practice mode and practice recognizing and effectively blocking them. Down and block or just block are the only inputs, so you only need timing and recognition.