I spend most of my life working with and studying the fastest kart drivers around and I have found that they all have something special in common.
1. They are all extremely skillfull at controlling their kart under braking
2 They are pre-occupied with keeping the wheel as straight as possible especially on exits.
If you are fortunate enough to get footage of the guys currently at the top of the karting world, pay special attention to how they use their brakes, and how keen they are to minimise steering input, especially when exiting corners.
In particular look at Birel works driver Jon Lancaster, Tony kart's Davide Foret and Marco Ardigo.
You will find that they are able to brake with supreme accuracy, making sure they are getting maximum braking traction from the tyres, and if you look even more closely you can see how they make minute adjustments to the kart's steering wheel on the exits of corners, making sure they upset the kart as little as possible.
Now i know all this isn't much use to you without any actual karting footage, but lucky for you there is plenty of video at the karting1 website.
Davide Foret racing a Tony Kart
Jon Lancaster on a Birel Kart
Marco Ardigo Racing for Tony Kart
Various world class drivers at PF kart masters