I prefer Western toilets (I'm American), but think the squat-strategy has a lot of sense to it: you never touch anything, and the squat position angles your body "just right" if you know what I mean. It's just a bit awkward for us (Westerners) when you're not used to holding that body position, though.
There, now I can cross off "get into public internet discussion of pooping strategy" from my life goals list. :)
This was on a western toilet.
To that end, there are several companies out there that sell stepstools designed to allow squatting with western toilets. The first one I saw was the Lilipad, made in New Zealand, and more recently a company called Squatty Potty has started making them in the US.
From the parent.
You stand with one foot on either side of the bowl and squat
You just lean to the side, while seated. Just try it once, and keep an open mind.