Hard to know how well you are doing in reducing your tax burden without knowing your income. Based on the numbers you have listed, my guess is that your income is around $100k, which means you're doing okay. If I'm close to right on your income, then you don't need to worry about the Alternative Minimum Tax (I assume this is what you mean by ATM) because that doesn't kick in until around $200k, and even then, only for around one-third of households with incomes at that level. So you still have quite a bit of space for either you or your wife to earn more before it becomes a serious concern for you.
States and localities must pay for infrastructure and services in some way, there is no way to avoid that, although they'll chose different combinations of taxing methods (e.g., property, incomes, sales) to achieve those ends. You'll pay for it in some way and it looks like your state prefers that way to be property and sales tax. So as far as your property tax, it's really hard to say whether it is high or low compared to people in other states, but since your state has no income tax your property tax does not seem particularly high.
For comparison's sake, my household paid $4500 in property tax and ~$5000 in state income tax, but we are a dual-income household and have an HHI (I think) about twice yours.
