it is abnormal to not to be able to hold that amount of power better than what your describing, less your running a completely stripped lightweight shell with absolutely no weight on the rear wheels.
I dont think your being picky at all, I do think you have a traction issue...
If I push 2nd gear flat I'll get wheelspin at 6800rpm because that where max power is being created, but that is 60rwkw more than what your running, at 250rwkw I didnt have a wheelspin issue like your describing...
so yeah you have a problem somewhere...
but dont just turn your power down, find the issue, get traction, enjoy it even more....
Im using nangkang NS2 tyres and they are a $160 each tyre and are crap and cheap but they serve a purpose to me, Im saving my good tyres for decent driving...