How to make my bike corner faster?

Try and look as far round the corner as you can, it's why you see motorbike riders hanging off the bike, head as far over as possible so they can get the bike in the direction they want to go.

That's total bollocks. We hang off to move the CG inboard of the bike's centreline, because that allows more effective lean angle before the footrests hit the ground. Your point about looking at where you want to be is valid, so if you're taking your example from motorcycle racing look at the eyeline of the rider, e.g: