I don't think they're proposing a system where you're required to disclose your political beliefs... if you weren't comfortable sharing your beliefs with the government, you could simply not submit public comments
Seems better than an alternative: where the ones with a voice are those who created the most-effective bot network.
I don't feel like I have much of voice when I submit one comment to my legislators, and a kid from California submits 10 million (as mentioned in this case).