For what little it's worth, given it's all solved, but more for future reference:
As a forensic scientist I can confirm a few things things:
1) Visible paint transfer, combined with the 3-layer pearlescent paint on the OP's car, means there's a good chance a forensic scientist could link the two cars very convincingly.
2) That won't say which vehicle or vehicles were moving or whose fault it is (unless the location of the dents makes that obvious)
3) It would cost a lot (as in, probably more than the cost of the official repairs, just for the forensic work) - this means there is about a 0.05% chance the force would authorise it unless it's the chief constable's car, or they have some sort of push on for a specific crime type. Being pushy (in a pleasant way) with the force (repeated phone calls to keep track, asking for everything in writing etc) may push this up to about 2%, but as mentioned, it's a minor crump with no injuries and no witnesses, most forces won't pursue it beyond knocking on the suspect's door once.
Note that most forces won't say "it's not worth our time" so you'll get a phony excuse like "there no forensic work that can be done" or "without a witness CPS won't prosecute" or something. That might be the plod sent round saying that off his own bat, it might be what his forensic submissions department have told him to say, it might be his sargent or someone, but either way it's a pain in the arse. I have exeprienced this myself. It was quite nice to see the guy's face when he said "there's no way to get DNA from that" and I replied "speaking as a forensic scientist specialising in DNA analysis, I disagree." (this was over a bike theft, and they still did nothing, but at least I was technically correct, the best kind of correct).
