Honda Civic EX 2006 winter behavior
 

Since winter started.. The car behave weirdly on cold weather and road
condition. The handling of the car feels very unsecure, like a drifting
feeling. When people rides with me, they also feel very unsecure. At
first, I though it was the OEM tires, but today, buy some brand new winter
tires on 15'' rims.. Still that same feeling.

It's my fourth car, and used to driving in winter, and I never experienced
such poor handling with a car..

Is this normal with those 8th gen civic? Could it be a problem with my car?

Thanks