The federal district court was recently called upon to review one of claims that a borrower can "quiet" a mortgage based on defects in the subsequent assignment or securitization. Even though the court didn't address the ultimate issue, granting leave to amend, it is interesting reading.
http://docs.justia.com/cases/federal/district-courts/florida/flsdce/9:2012cv80368/397871/14/0.pdf?1340965963
Even where a borrower is successful with this tactic, my understanding is that most underwriters are hesitant to insure over a recorded (albeit quieted) mortgage. Please discuss with your underwriter.