The government already entitles itself to do far worse things than bounce a few photons off me now and then -- eg every year they pry open my wallet and entitle themselves to a very large fraction of my income.
You should also be wary to chose the new place carefully, there are many areas on Earth where the background radiation is higher than in NY with a scan-van on every corner working constantly.
So, by that argument, we should just let the government do anything then? I once had a similar argument with a friend who insisted there should be stricter gun laws "because the government already has tanks and planes, so the second amendment doesn't make any sense anymore; they could always bomb the shit out of the public if they wanted."
I think the opposite is truth: we need to act now while we still have some power, rather than assume a defeatist attitude and let our children and their children at the mercy of a fully omnipotent government.
No, my actual argument is that all arguments of the form "If the government is allowed to do X then they have to be allowed to do Y, Z and Z' " are a bit silly.