Arouse suspicion? If a cop has probable cause, he does not need your consent to search your vehicle.
Police sometimes go on fishing expeditions just to see what they can find. You are a citizen of the United States of America! You have rights guaranteed by the Constitution, know them... Use them.
Let's not forget, that once you give up your rights, a dishonest cop could plant incriminating evidence.
You see it every Saturday night on 'Cops' - cops have no evidence, but ask to search the car. The perp coplies, and next thing you know, they're hauling him or her off to jail. The lesson is supposed to be "don't do drugs" or some such thing, but the real lesson is to never agree to a search.
The police do not have your best interests in mind.