sw,
cannot answer your question as to which TAT probes feed SD..I would assume CAPTs.
And you are right...if ADR1+2 are incorrect, the remaining correct ADR will be blanked out and information of the 2 faulty ADR will be given to AP and FDs.
You will be hopefully ablte to recognize this with the help of your stby instruments (call it the day if your stby pitot probes are iced up)..
Go to QRH unreliable Airspeed/ADR Check procedure. Worst case is you will have to turn either 2 ADR off( preferably 1 and 2 to get rid of your wrong speed indications on both PFD) fly your memo pitch/ power values and if you have correct Alt information the best technique is to use the FPV-not to use if your Alt is incorrect!
Hope that helps a bit..
puh