Furthermore surveillance isn't just an all or nothing thing. For example, the government can record your activities in public without a warrant, but they can't subpoena your phone calls without a warrant. That degree of surveillance has more checks and balances.
How you somehow try to go from recording people in public to "ancestry tests" is a pretty nonsensical argument.
> And since we "supposedly" live in a democracy, we should be allowed to have a vote to decide on this, the group that wins is the majority, right?
No, you'd have to win much more than the majority to change the constitution, which defines a lot of privacy rights. But if you have enough votes, then sure you could change the constitution.