At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
First of all, the car is not stationary, it is moving with some velocity towards the insect.
Secondly, the mass of the car is much greater than that of the insect, so the force applied by the car would be much greater than the force which is applied by the insect.
Newton's 3rd law: the force of A on B is equal and opposite to the force of B on A. The forces applied would be equal. Yes, the insect might be squashed, but it will still apply the same force back onto the car, the car is simply more massive.
nj1202 is right. It is a good example of the counter-intuitive aspect of Newton's third law.
Car and insect exert forces of same magnitude on each other.
Not the answer you are looking for? Search for more explanations.
Where it's particularly bad for the bug is in the fact that his body doesn't uniformly change direction all at once. Not such a good thing to have the back of your head still decelerating after your face has stopped. :)