Total anonymity is one of those things a perfect voting system would provide, but in reality you have to pick a balance. In the real world, total anonymity is at odds with preventing fraud.
I believe our current system is somewhere in the middle, with moderate anonymity and moderate fraud protection.
Anonymity in voting only applies to your vote, not the fact that you voted. Physical paper-voting gets this right: it's trivial to see how your vote is kept secret and counted, while each entry on the voting lists only gets to vote once.
I believe our current system is somewhere in the middle, with moderate anonymity and moderate fraud protection.