Your question is about resisting taxes, but your motivation appears to be based on the morals/ethics of US military force used overseas. Furthermore you want to "pay the part that is used for legitimate constructive expenses of the society I live in".
So there are a few things to break down here. First - the US military is a federal entity, so you should have no issues paying state and local income taxes, property taxes, sales tax, etc., which are all used to pay for infrastructure and services that benefit the area in which they were collected.
What about federal income tax? Well, consider that it doesn't all go to the military and even the portion that does go to the military isn't used solely for warmongering, it also provides for the defense of the United States.
So the ethical dilemma of your federal tax dollars going towards military action that you don't agree with, only accounts for only a small portion of your tax bill each year. This doesn't seem like a good reason to not pay your tax bill. Especially considering (as others have noted) you can't specify to the IRS which part of your tax bill you've decided not to include in your remittance.
What you can do, if you disagree with the current military strategy, is to contact your US representative and senators (paid for with your tax dollars btw) and let them know. Ultimately, it is they who decide how federal tax dollars get spent. And they represent everyone in their respective constituencies - citizens and aliens alike.
This is what it means to live in a democracy - you don't get the final decision on how every little aspect of the country is operated, but you do at least get to have a say. After having your say, you are expected to live by the rules that were decided by the elected representatives. The alternative, where everyone lives by their own rules and ignores the majority, well that's called anarchy.