yeah DNA is videly used these days, it have become pretty easy to collect and process, and most of all doing that is not that expensive any more.
I am 100 % sure that if that happened to my car and i called the police about it i would be told "that is your problem" and "contact your Insurance Company".
I lost my trust in Danish police 30 years ago, and i am pretty sure things have not become better in that regard.
Nobody steal my Little Suzuki either, but i have allready had it vandalised, broken window in front R door just like you, and nothing stolen or opned, just plain old vandalisem.
we will have a lot of the same here in the comming months, in summer time we see a lot of ppl visiting from the East, they make tent camp in forrests and on beaches, and then the crime rate go up.