I liked it better than you did, I think. I think the art for Batgirl has been way better over the past few issues, for one. It's not top top quality art, but for a mid/low selling character like Batgirl anyway you're not going to get the cream of the crop unless it's just something they happen to be passionate about.
For the bat-a-rang scene, I was able to suspend disbelief. I thought it was cute. And I don't blame detective wazzisname for flirting with a young college co-ed batgirl in a tight spandex costume. What would you do in that situation?
The video display plotline was silly. The point of it seemed to be to make Proxy seem useful. I liked her negative tone in that scene, and hope she develops into some sort of traitor at some point and become Steph's Arch-Nemesis. That would be a nice payoff for that not-so-great setup. Might not happen though. But it would make this scene have way more meaning.
I understand the point of the protest too, and wasn't so bothered by it. They're setting up Steph = Female Peter Parker. Gotta make the city hate Batgirl like that darn Spider-menace!
As for lack of sense of danger, that's not unique to Batgirl. That's coming across in every comic these days and is very unfortunate. It's all about comic companies unwilling to progress. For Batgirl as an example we have her coming back from the dead mysteriously and sayin "surprise, I'm batgirl now!" That makes it really hard to think of much danger especially after how emotional the Spoiler death was to begin with. Kinda kills that old storyline. Same with the Bruce Wayne magical return. Subconsciously, you have to think of both in there and realize "well nothing bad's gonna happen here."
This issue was a whole lot of set up for a pay off down the road for almost every plot thread, and I hope those pay offs happen. Because of that, it's really hard to judge it on its own. It really depends on how good Miller twists the plot and how good he resolves things for almost every one of the issues you present here. I've had fun with the book so far, so I'm going to give him the benefit of the doubt.
Wow, I would have bet money that I could actually spell "Batgirl" in a subject header. Well, as I'm fond of saying I could be wrong. I had just hoped it wouldn't be in spelling the name of the character I was reviewing.
I want to add a couple of points. First having St Nick be in the EXACT building Steph falls into escaping a helicopter. Too much of a coincidence for me. Second having Steph fall backwards through the skylight. That's falling through glass, which speaking from personal experience that ended in a visit to the emergency room and stitches, is never fun. Plus falling backwards? If I'm falling, I want to see where I'm going. That's just dumb. It's those things that drove down the enjoyment of the book for me.
But I am the guy who never could get past the huge plot holes Brubaker used to bring Bucky back, so that's the way I roll.
Or I could be wrong. Heavens knows I can misspell Batgirl.