Would you get Uninsured Insurance coverage in this case?

The information you gave is not needed. The only question is this: Do you want to be covered by your own insurance if someone with no insurance, or low coverage hits you? If yes, add uninsured motorist. You can also upgrade uninsured motorist coverage to include under insured coverage. Of course the maximum you would get if someone with no insurance hit you would be the value of the car, which you say is $2000. Do the math to see if it's worth it to you.