In my state, uninsured/underinsured motorist insurance does NOT cover your car, only bodily injury. If you're rear ended by a drugged out suspended license uninsured bozo in a BMW going 35mph (hypothetically speaking) you must file a claim against YOUR OWN CAR'S POLICY to get it repaired. If you don't have coverage, too bad. You're on your own for suing the penniless cretin to recover costs.
If you do have comprehensive then your insurance pays (deductible applies). The insurance company will eventually go after the other guy, and if the loser ever disgorges any money they have to return your deductible before hanging on to their chunk of change.
This is in Colorado. What state has uninsured motorist coverage applying to property, BTW?
I'm in CA there are two typed of uninsured motorist coverage here. UMBI (which stands for uninsured motorist bodily injury) and there is UMPD (uninsured motorist property damage).
The general public does not know difference between the two and if they have one they usually think they have both, in waffleironhead case in here he got a rude surprise in a accident situation.
UMPD is available in your state, although it is optional.
Here is a list from this article that can be helpfull.
Alaska: insured may reject in writing
Arkansas: insured may reject in writing, $200 deductible
California: insured may reject in writing
Colorado: coverage optional
Delaware: accepting UM coverage includes UMPD
District of Columbia: UMPD required
Georgia: UMPD required
Hawaii: UMPD required
Illinois: insured may reject coverage
Indiana: insured may reject in writing
Louisiana: UMPD required, $250 deductible
Maryland: UMPD required
Mississippi: insured may reject coverage
New Hampshire: not required
New Jersey: UMPD required
New Mexico: UMPD required
North Carolina: UMPD required
Ohio: coverage available upon request
Oregon: UMPD required
Rhode Island: mandatory unless rejected in writing, optional if insured has collision coverage
South Carolina: UMPD required
Tennessee: insured may reject coverage, $200 deductible
Texas: UMPD required
Utah: UMPD required if no collision coverage
Vermont: UMPD required
Virginia: UMPD required
Washington: UMPD required if no collision coverage
West Virginia: UMPD required
Wyoming: not required
Source: Property Casualty Insurers Association of America, 2008
http://www.insure.com/car-insurance/uninsured-motorist-damage-coverage.html