I tracked my e46 (all stock) and it was great! I have also tracked an X3 (also at WSIR and also all stock) and even its brakes were fine. You should be fine. BMW builds a pretty solid car. Also, I didn't find Willow to be that hard on brakes (unlike the infield of CA Speedway).
Just be intellectually ready to replace your tires. A track day can destroy stock tires quickly. Especially with stock alignment.
I wouldn't worry so much about a LSD. If you drive smoothly and consistently and don't hammer the throttle looking for that ultimate last 1/10th of a second of lap time, you should not even notice the lack of LSD. Frankly, if you drive really smoothly you might not even notice DSC intervening.
Have a great time! Post videos please!
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