I've been in accidents with people who thought this way.
The cop said to call our insurance companies and drove away.
*shrug*
I'm guessing in certain areas of SE MI you won't get a cop for quite a while but in other areas they show up pretty quickly. I think we waited like 15 min? Plus insurance in MI is super screwy so you want a clear who is at fault. If you are found to be <50% at fault you may not have to pay your deductible or can go the mini-tort route to get the driver to pay your deductible depending on your insurance type.