[Quicksilver]

Any time you go and try to 'knock something loose' in a circulating system you need to remember that you have now set it to circulate. In a person this is called 'a stroke' and is caused by knocking loose some gunk (a clot) which lets it circulate up to your brain. (That is why you should never use a vibrator/massager on unexplained calf pain)

ATF and other things such as Rislone are used to 'flush' engines. In actuality what people are usually trying to do is reduce varnish. This is good to reduce a noisy hydraulic lifter. The other use I have seen for ATF is when it is extremely cold (think 50° below zero) people use it as a partial or complete replacement of engine oil.

This doesn't fit you needs. You haven't lost a bearing and need to clean out debris. You are just trying to fix something that isn't a problem. You have a much greater chance of creating a problem and an almost zero chance of alleviating a problem by doing this.

If you come up with a REAL need to flush the front lines the correct way to do it is remove the parts from the car and have them cleaned.

Oh, and remember that oils have detergent additives in them to very slowly and safely deal with deposits. Just change the oil regularly.