Attaching the "pill" to the antenna ring probably wouldn't work, because the car didn't have PATS to begin with... Unless the PATS equipment was also swapped over, including the antenna ring.
--If you still have access to the donor car, make sure to get all the PATS stuff. The PATS can be reprogrammed. You can buy blank keys with a chip online ($7-ish), and have them cut at a local key shop. A tuner can help with the reprogramming. May be expensive.
--As mentioned, if you have the key/keys to the donor car, you can reprogram it yourself to new keys that you can buy online, or remove the pill, and use it directly, without any sort of programming. This would be more work for you, but seems like the best, option if available.
--If you no longer have access to the donor car, it sounds like the best thing to do would be disable it, via a tune/reprogram. may be expensive. I'm actually not sure if you can disable it, without having the external PATS module present though...
--FYI, A $35 3-day subscription to the
Ford FMP software, and a
Mongoose Cable would allow you to do the reprogramming yourself, very easily, without having any original keys. Sometimes you can find the cable on ebay or ford forums for cheap. You would need to buy the uncut chipped key online, and have it cut to match your current key, and have all the PATS gear installed. This may be just as, or more expensive than any of the above options, but I thought it might be worth mentioning, in case you know someone nearby, that has a mongoose cable.
I have a mongoose cable. Where are you located?
