AD594 wiring

Can I wire a single J-type ungrounded TC to a pair of AD594 units - in parallel?  I would like to connect to unit 1 normally, but to the 2nd unit wired in reverse.  My purpose is to have a reverse polarity detector, where unit 2 would drive an LED whenever a reversed TC is detected.  Plan is to build a hand-held unit that can detect open leads, reverse connections, and add a simple cct to detect TC short to metal tool, such that an operator can quickly check multiple dozens of TC's in short order.  Checking by conventional means would be very difficult.  Is there something else that would work better (AD8494?).