I'd just like to stay as unidentifiable as possible.
But in this quest, you are wasting your time on something that has zero or very little benefit, considerable cost (to reliability and complexity), and may actually backfire (by doing highly unusual behavior, you might actually attract attention).
Yes and no. I understand that certain parts of live are simply public. For example, if you want to see the exact details of the building permit I used to finish our basement, that's completely public (as are most interactions with government agencies). My political activity (campaign donations, participation in official meetings) can be found in the published records. If you know my name, you can find out where I work and what I work on, by reading patents and scientific publications. There is absolutely no point trying to hide that. I use Facebook to communicate with friends, and I know that everything done there is public. That gives away some of my hobbies and friendships, but I make deliberate choices about what to post there and what to stay silent about. For example, if you know my name, it is very easy to find out what OS I use at home, and what I think about it ... that's all on this forum, where my username is a simple and unique abbreviation of my name. I don't worry about people knowing what OS is running at home, but I try to be careful that nobody knows the IP address or root password of that installation.
On the other hand, while I use the web, I try to restrict that to organizations that are at least reasonably trustworthy, where I have the choice. And I admit that both my ISP and the security agencies know everything I do, but I rely on the former being incompetent and uninterested, and the latter being unstoppable.
Your quest of trying to stay unidentifiable in public is a little bit like the Unabomber only running around with large sunglasses and a hooded sweatshirt.
It's not for nothing that websites have almost all switched to secure-ish https.
That's not so much for privacy of their end users. Facebook and Google and Amazon still know exactly what you are doing on their web properties, even with https. It means that the ISP or a deliberate attacker can't snoop on the content of your communication, but they can still do traffic analysis. It has very little to do with being unidentifiable.