I hear you. I mean, I'm never all that comfortable giving out private information to anyone. But, at the same point, I've given out this information plenty times to make reservations at restaurants and given out even more information to get an Uber, get on a plane, etc. I guess it's the fact that the government will have easy access to it that makes the difference. But, in the end, it's really not much different than making a reservation.
At the same time, I'm probably not going to go eat at a restaurant while this is going on anyway.