The question was "how does it feel?". Not a really useful or interesting question, but there it is, at the top, and for a lot of people here, the answer is "exactly like what you're doing".
> See what gross inconsistency is tolerated. I have heard some of my townsmen say, “I should like to have them order me out to help put down an insurrection of the slaves, or to march to Mexico;—see if I would go”; and yet these very men have each, directly by their allegiance, and so indirectly, at least, by their money, furnished a substitute. The soldier is applauded who refuses to serve in an unjust war by those who do not refuse to sustain the unjust government which makes the war; is applauded by those whose own act and authority he disregards and sets at naught; as if the state were penitent to that degree that it differed one to scourge it while it sinned, but not to that degree that it left off sinning for a moment. Thus, under the name of Order and Civil Government, we are all made at last to pay homage to and support our own meanness. After the first blush of sin comes its indifference; and from immoral it becomes, as it were, unmoral, and not quite unnecessary to that life which we have made.
> See what gross inconsistency is tolerated. I have heard some of my townsmen say, “I should like to have them order me out to help put down an insurrection of the slaves, or to march to Mexico;—see if I would go”; and yet these very men have each, directly by their allegiance, and so indirectly, at least, by their money, furnished a substitute. The soldier is applauded who refuses to serve in an unjust war by those who do not refuse to sustain the unjust government which makes the war; is applauded by those whose own act and authority he disregards and sets at naught; as if the state were penitent to that degree that it differed one to scourge it while it sinned, but not to that degree that it left off sinning for a moment. Thus, under the name of Order and Civil Government, we are all made at last to pay homage to and support our own meanness. After the first blush of sin comes its indifference; and from immoral it becomes, as it were, unmoral, and not quite unnecessary to that life which we have made.
-- Henry David Thoreau