I'll have to try it next track day. You can combat that by progressively releasing the brake as you move through / into the corner. In the end you really want to limit sudden weight transfer, and remember the 100% rule. Slowly releasing the brake will allow weight to transfer back to the rear before / as you need it. Getting it back earlier is best so you can get back in the throttle, push through the under steer (quirk of FWD cars) until the weight settles back on the outside tires. So accel out right, brake hard, begin turn backing of backing off backing off, throttle throttle throttle. Remember brakes are quick on slow off while throttle is quick off slow on (generally speaking).
Something like a increasing apex right into a decreasing apex left will really get you all undone. Trail braking is an art. Keep at it.
If you really want to try it without ABS /Stability intervention back a wheel speed sensor out away from the tone ring or unplug it. That will turn on you ABS light yes, but it will also disable everything abs related. Honestly I wouldn't recommend it unless you are running at a track with proper safety gear. And I don't condone any activity race related on the street. Seriously, weight transfer issues at high speed will literally get you killed. The stuff above becomes pretty ragged edge when performed at speeds over 90 / 100. What you can feel as the back wanting to take over the front goes from time to acknowledge and correct to it happened and it is over. The faster you go the more you have to prevent the situation form arising because there is no recovery. Be careful.