Sorry, but saying it affects your motor skills, which is what operating a vehicle is, should be a big concern. If its bad enough that police would go to those lengths to check you and your vehicle for drugs or alcohol, why are they letting you drive? At the minimum, I would think they wouldn't let you get back behind the wheel after pulling you over.
It is affecting your life, so I don't even know what you could be thinking by not getting it checked out more thoroughly.
You don't seem to understand what a tremor is. I look nervous. I can still draw straight lines, fight, play video games, drive, type, play guitar, thread needles, etc.
It's not like I'm flopping around. I'm willing to bet I can draw a straighter line then you can and probably drive better too. I was the teacher's pet in high school for technical drawing. I would free hand 3 point perspective all the time.
Cop walks up, sees my hands shaking like I'm nervous while I try to pull my drivers license out.
Him: Why are you so nervous boy?
Me: I have tremor, my hands do this.
Him: Oh right, so you sure there is nothing in the car I need to know about?
Me: No sir
Him: Then why are you so nervous?
Me: Again..blah
Him: Step out of the car. Look son, I'm not buying your story. If you tell me what you are hiding I can help you. When I find it and you didn't tell me, I'm not going to be able to help you.
Me: Sigh.......
Or in bjj class. I grab someone.
Them: your kinda shaky, you want to take a break.
Me: Nope I'm fine
Them: ok, well, just tell me if you need to stop.
To quote the internet "Essential tremor is a type of involuntary shaking movement in which
no cause can be identified. Involuntary means you shake without
trying to do so. The tremor is usually most obvious in the hands.... Essential tremor is the most common type of tremor. In general, tremors occur when there is a problem with the nerves supplying certain muscles. However, everyone has some essential tremor but the movements are usually so small that they can't be seen."
Mine is just enough that it is sometimes seen. Police are looking for those 'tells' to find kids worried about the pot in their dash, or the beers they had.