If the papers are incorrect, don't sign.
Usually, that's not a significant part of closing. If your name is Jonathan, the alias typically would be "Jon" and maybe (if somewhere misspelled) "John." But it shouldn't say your name is "Robert" or "Mitchell." Your wife might be known as "Mrs. Jon Smith." But not "Jon Smith."
You might receive an answer along the lines of "It really doesn't matter. Just sign." I'd be very, very cautious about doing that.
Check with a real estate lawyer for guidance.