Why does there have to be an implicit threat of violence? If you didn't stop, the cops could take your license plate, find where you live, and send you a ticket for a much bigger crime. Cops don't have to use violence to solve all their problems.
If you continue your scenario, so that the subject refuses compliance even further -- does not pay the fine, ignores court summons -- physical coercion crops up when they are arrested, and perhaps later sent to prison. This may not be "violence" as you meant it, but it is one aspect of what people mean when they say "state monopoly on violence".
If you don't stop, cops will happily chase you in violation of department policy, endangering innocent bystanders[1], then shoot you when you are running away. If you happen to get away the next step is sending a paramilitary team to your house to shoot your dog and throw a flashbang in your baby's crib.
>Cops don't have to use violence to solve all their problems.
They don't have to, but its usually the first resort. There's literally thousands of hours of videos online of cops knowingly making illegal 'requests' on video and threatening arrest for noncompliance.
[1] I had to ride my motorcycle over a curb because a police SUV somehow thought he could outrun a race bike and came flying around a blind stop sign in my neighborhood at a fast enough speed to hit the opposite lane. Policy in my city is no pursuit.
Fake plate or stolen car and you probably can't prove who was driving anyway. That's why camera tickets are generally just fines to the registered owner, no points to the actual driver.