It depends on the form of the death threat. If someone is repeatedly calling your home and threatening you then you should let the police know it’s happening. If it’s some jerk yelling out of the car then just consider the source.
Oh yeah, for sure. If it is some random tweet from some A-hole...who cares...but yeah if they are calling your home or (I think this would be creepy) mailing you s#!t...that is totally different.