Both Fans Run All the Time...Solution Question, 5SFE Options

[FrankB2]

Hi Guys.
Both of my 1997 2.2 5SFE fans run constantly, even after turning the ignition to "On" in the morning, but not starting the engine. A quick search here suggests the problem is the Engine Coolant Temperature Switch, located at the bottom rear of the radiator. Before draining my coolant, I thought that if this is the problem, disconnecting the wire from old and connecting it to the new without installing it into the radiator should keep the fans off with a cold engine (or just turning the ignition to ON without starting a cold engine). Does that sound about right to anyone? Also, does this look like the right part:
http://shop.advanceautoparts.com/webapp/wc...bwd_18970379-p# It looks right to me, but Advance Auto has given me the wrong parts before.... Oh Yeah! Do the threads need Teflon tape, or any other type of sealant?
TIA!!!

[FrankB2]

Update:
I tested the coolant temp switch in the radiator for continuity, and it has continuity when the engine is ice cold. I bought the same switch from Advance Auto a couple days ago, and it had continuity when I tested it out of the box, so I assumed that the switch in the radiator was good. It's my understanding now (YOUTUBE and Google) that the switch should not have continuity when cold. I wouldn't be surprised that a cheap switch from Advance Auto might be bad out of the box, so I'll try another switch there, or buy a Toyota switch.