Some may know, I did retire after 25 years as a Police Officer in an inner city and worked most of my career on the "bad" side of town.
Normal folks, sure you can talk to them...
Her actions are NOT normal.
IMO, I would NOT want her to know who I was, that I called and now she knows MY vehicle (for retribution). I've seen the retribution and the laws here were fairly limited (unless IE, you actually saw her cut your tire).
Most Police Officers, are looking for an arrest, that's their job. Your pretty much, likely giving them a "gimme arrest" if she's DUI, high, etc.
I would try to remain anonymous when speaking to the department but give ALL the information you can (IE, on going problem, everynight, might be drunk or?). If you can hold the phone so her car noise goes over the phone to the police (its usually recorded), so dispatch can hear it, EVEN BETTER (more documentation)!!! Dispatch will often pass this info to the PO responding too. All that, if it gets that far, goes on the booking sheet.
Speaking with management, usually is useless unless you have folks running the place do indeed care. It does help if you can get some of your neighbors (the more the better) to complain, threaten to move, etc..
Folks like her, that like to play games with the cops, just make me even more so, want to catch her.. Parking around the corner, sit and wait and watch the show, then move in, etc, that's the fun part!!!
Anyway, good luck...