higher profile tires wont make the difference that you are looking at...they only affect your roll diamteter, which if off too much...is also not good for your car.
raising or lowering a car doesnt necessarily result in good or bad traction....since traction is more a function of tires or any electronic traction control system if you have one in your car. the height affects the centre of gravity on your car...the lower it is...the greater that centre and hence improved handling and cornering....but road conditions come first..
like i said...check to see how high or low the 01-05 civic's stock springs are vs. your civic.
and to be honest...i think alot of new civics are on the road...they go just fine....so there isnt a big need.