Don't label me as crazy BUT what if you decide to renounce your 'national' identity and "go to war" against them?
I assume in this hypothetical rebellion, you are going to cease to own and use currency from the U.S. and any and all other nations that you may be rebelling against and/or to whose policies you have major moral objections. It seems to me that, unless you are going to be hypocritical about it, renouncing said currency would be a necessary step in renouncing your national identity.
I suspect, however, that if you are completely honest, you will find that there exists no nation on the face of the earth, whose policies are completely in accord with the Gospel. So, I suspect, you will have to work within an economic system that does not rely on any sort of national currency. Perhaps, you can try bartering? But, with whom will you barter? The rest of us all seem to prefer to make our purchases with cash.
Not to mention, the government still retains the moral authority, if not the duty to punish you for tax evasion, treason, and/or any other crimes you may commit in your "war" against the government. This, of course, raises a whole new set of moral issues, but we'll leave that alone for now.
You certainly do have the option of picking up and moving to another country, one whose values are more similar to your own. If that is what you are prepared to do, that is fine. Just realize that, if you want to live in a country that is more restrictive in abortion than the U.S., your options likely include a handful of third-world countries.