I think I have one that I took off when installing an ARB bumper. If you are still looking, I'll check to see if I still have it. It's from an 2002 LX470 but should be the same.
Here's a comparison of the OEM old v new. Part #45280-60510 which is the "bracket assembly". You could replace the entire bracket, but I believe it is easier to remove the ignition rod from the new assembly.
I had the same issue/symptoms as the thread linked above. Tried the fix according to FJRyder, but it didn't work. A used ABS ECU from ebay solved my problem and was an easy fix.
Are you still looking for the brackets? I removed my boards from my 2002 LX and can send you the brackets. I'm assuming the brackets are the same for all 100 series.