First, I'll give you the benefit of the doubt that you don't view your wife as a commodity. You're just in a really bad situation right now and it's going to take a lot of understanding on your part to fix things.
Something none of us seem to be prepared for is the, I guess, emotional and psychological issues involved with leaving everything in your world and moving here to be with someone. My wife wasn't prepared for it and I wasn't prepared for how it would affect her. It is definitely a common issue that people face. You're coming home to a wife that is probably depressed in a way that we can't understand. It's not that she's immature, irresponsible, or lazy. She is depressed and alone in a strange, new country. When my wife first got here, she stayed home while I worked. When I got home, even though I didn't want to do anything except sit down and relax, we made it a point to get in the car and just drive around some. Get her out of the house and let her do something; anything. And even with me doing that, she was still lonely and depressed all the time. It wasn't until she started working and making her own friends that she started to get better.
The fact that you hit her is an issue. It doesn't matter how lightly you hit her, if her Filipina friend puts ideas in her head (VAWA), then you've got a real problem ahead of you. Yes, she was wrong for covering your eyes while driving but this could still go very bad for you.
Also, leaving her alone while you went to the zoo was another huge mistake. Don't call it some silly tampo fit. I don't like tampo either, none of us do, but don't minimize her feelings in this. A lot of what you write, you're belittling her, making her seem less than you, using words like silly and immature. If you're able to talk to her again, you need to apologize and take full responsibility if you want to fix things. Then start letting her be more involved in decision making, like with the finances. This can be fixed but it will take lots of time and a huge amount of understanding on your part.
However, if she has VAWA plans, then you're in a really bad spot.