Sorry, I'll be the first to admit I'm no talmid chacham. If you're saying that we are under no obligation to follow the law of our secular governments in areas that are not monetary, please educate me. This is the first I'm hearing of such a concept.
There is a concept of הוה מתפלל בשלומה של מלכות, שאלמלא, איש את רעהו חיים בלעו. but the whole Halacha of Dina D'Malchusa comes from the concept of eminent domain (Not exactly that concept, but similar, as the king has the right to take all your $ so he has the right to make laws about them), and that would only apply to monetary matters (Machlokes if Karka and Metaltilim or only 1 of them).
Don't get me wrong, I'm not getting at all into the discussion how we should go on in life, I'm just bringing up a point that all discussions regarding Dina D'Malchusa are not relevant, If you want to go into Pikuach Nefesh or Safek Pikuach nefesh that's another discussion.