skidding is hard with a flexy chainring like yours.

Your main problem is probably technique.
But try bullhorns and chop and flops at the end of a very long stem. Get pedals with some teeth.

Use a better gearing, like 46x18, 46x16. (you can get a good ring cheap from salsa (QBP) and you mount it on some 170 cranks with 110 spacing.

But the main thing is your shoes. New Balance are terrible for bikes. They are vitually a uniform for some people, but trust me, get some adidas shelltoes and you will be all set. Anything with a smoothish sole and a compact body and no foam in the shank.

Good luck.