In theory, you do have a second option. The TSA allows air travelers to refuse to provide the information. However, the downside is that those who object are likely to be subject to additional screening, or even denied boarding. It's a trade-off that few would risk, I think.
It seems to me that 1984 has been stretching out for more than a quarter century and shows no sign of terminating anytime soon. I guess Big Brother, or Big Air in this case, is here to stay