Sounds like you both have the same argument. She's accusing you of being disagreeable or wanting everything your way... you're accusing her of being disagreeable and wanting everything her way.
The added component I'm hearing however is "who should make the decisions about the girls".
That implies only one person.
As in if she IS talking with things with you, are you taking that as you're being ICED OUT of the decision making process if she doesn't do exactly as you think? (AKA if she's talking something over with you it becomes "your decision"?)
You may not be, but it's a common thing with many people. "If you don't take my advice 100% then I have no say."
When 2 people have opposite, or even differing viewpoints, a decision needs to be reached in some manner. Compromise isn't always possible (i mean, like birth control every other day is the same as no birth control at all). Nor is NOT making a decision (which equals a decision in and of itself).
Honestly... I'd suggest marriage counseling. Not because your marriage is in danger, but because a 3rd person to show you when you're both arguing the same thing is HUGE. (AKA both of you aren't feeling listened to or valued). Sounds like there's also a lot of miscommunication in other areas, as well.
The cellphone issue, for example, COULD (not saying is) be her not "digging" at you, but trying to show you when one would be useful OR if you're saying that you never get a say, her showing you something she feels strongly about but decided to go with your preferance, even though it's not her own, OR, OR, OR, OR. There are soooo many reasons this could be being brought up.
A marriage counselor can help get you both on the same page. Sounds like you're both reading the same book (loving and wanting the best for your kids), but are in totaly different places. And instead of helping each other, are making things harder for each other. Which is probably what NEITHER of you want.
Something to think about though:
Having a say does NOT equal always getting your way. And it's not pay to play. You would/should have just as much of a say in you didn't bring in dime 1. Loving the kids and being their father is the currency. Not "I put a roof over their heads"... which is insulting and demeaning to your spouse. Whether she stays at home or works. It's not a numbers game UNLESS only one of you is spending the majority of their time with the kids. If one of you spends 2 hours a day with the kids and another spends 14... the person with 2 hours is making the other person live with the consequences of their decision. Micromanaging NEVER works. Which is when it becomes a numbers game. No matter how much you love them, if you don't have to deal with the issues a decision causes, then it's not your decision.