not 'chirping' the tires can be due to several things.
1. depends on the weather--hotter weather (it is getting hotter) will make your tires more sticky and this will improve traction to wear you won't 'chirp' as often.
2. depends on the road--asphalt when dry is more sticky than pavement when dry. and vice versa: pavement when wet is more sticky than asphalt when wet
with only 4000 miles, you should definately not be experiencing power loss (although you should take it easy on your engine for the first few thousand miles to help break it in--dont race/ride hard with a new car). it's possible, but i seriously doubt it.
about breaking it in... its been proven that cars properly broken(meaning it didnt go past 4-5k rpm's for 1000 miles) have more power after the breakin period and last a lot longer and stay stronger through their lifetime
Actually, isn't there a differant stipulation now a days. With new technology for vehicles, they actually recommend you drive your car really hard (ie: almost redline it and drive for a bit, and then slow down and repeat this off and on) and it is suppose to tighten something..not sure exactly what (maybe pistons or something?) but it's suppose to actually give or maintain the Performance of your engine.
I can't imagine a car with only 3k miles not being able to peel out, bad tires or not.. all you have to do is floor it in first and the car should squeal.. at least mine does. I did it not too long ago and I saw smoke come up the side of the outside of my door and I was only in like 4k rpm or so and floored it for about one a half seconds (after letting off the clutch.)