The "self healing" paint doesn't self heal. In theory light scratches = swirls and therefore there should be no swirls on any Lexus IS yet if you look at a black one or a blue one its got loads?! Its just marketing. Some say to pour hot water on it, others say to leave it in direct sunlight, hasnt made any difference to be honest.
If it takes you longer than an hour to wash the IS with 2 buckets, a hose and a wash mitt, you're doing something wrong. It takes that long to do my RX.
With regard to the claying, I'd say use a clay bar first - it gives a visual indication. The Clay mitt does NOT and therefore you might actually be rubbing on the paint a lot more than you should be doing.
Dont see why you'd need to clay a 2 month old car though, it only needs doing about once a year and you should polish after as it leaves scratches in the paint