That would be a disaster -- both literally and politically.
If Mark's observations are accurate, then I think there's another subtle strategy at work here. The GOP objective isn't just to discredit Ford for political purposes, but to expose so many inconsistencies in her various claims (to Feinstein, to the Washington Post, in her "lie detector test," in her opening statement, and under questioning) that the FBI could not possibly investigate anything related to these allegations.
The end result here isn't as much a discredited witness as it is a non-existent "allegation."
This whole drama is for Collins, Murkowski and Flake. They are the only minds that need justification to vote yes and I think they more than have plenty of cover.