Yes, and (a) criminals and terrorists are incented to lie while (b) there are many ways to obscure one's movements in foreign countries. So the whole proposal is an absolute dud.
I repeat: HOW are you going to attempt to track the movements of suspicious US citizens?
You don't get it, do you?
You are the suspect.
You're being asked to disclose personal information without benefit of an attorney.
If they asked you to do this inside the USA, would you comply?
If not, why not?
How are you going to catch these people? Yes, they would probably lie, but the lie could perhaps be caught.
There is nothing here about monitoring internal travel. It would be impossible to do any way, unless you set up checkpoints on every interstate, and that wouldn't take into account thousands of miles of back roads.
You are not addressing the question: what do you do about these people who are citizens but have thrown their lot in with the terrorists?
Passport applications require a birth certificate, Social Security number, photo, etc.
Yes, there is some risk involved in this as without proper safeguards information could be used for other purposes. However, you still aren't answering my question.