You guys... It is easy to be uncomfortable with things you don't understand, but if you break it down, there is no harm in Google, and if there was, the only thing you could do is unplug your computer. Cars KILL people, about 40,000 people a year, but you don't think twice about driving. Same principle with a network, there are accidents, but the good vastly outweighs the bad.
Now, so you think you can outwit Google? You can, but you should know that ANY server can and does collect data about you so as to make the net faster, safer, and cheaper. From the first server you connect to get on the net, all between that and your desired web page, sometimes as many as 20 or 30 at any one time, all can and do collect data. Not your name, but you location, time, length of time connected, pages viewed... But no personal data. It is all demographic and geographic data that is used any number of ways, all benign to you. And there are so many of you's, like grains of sand at the beach, that you are lost in the vast numbers. If someone does want to view your posting history, and can get a court order to do so, you are toast no matter what you do. So enjoy yourself, just don't think anything you do can insure your privacy if someone has a court order. And what are the chances of that for all us law-abiding FReepers, right!
Google is evil. An alternative browser like FireFox, Palemoon etc, with NoScript, Ghostery, ADblocker plugins helps to keep the snoopers out.
Are you a bot? Seriously, your post reads like something from a bad bot script.
IT professional here, and I have decades of experience with networking, systems, data center engineering, and storage. I can tell you with 100% certainty that Google catalogs EVERYTHING. If you touch their DNS, they have your ingress and egress points. That means they know from where you came and to where you were going.
I'm sure you know that the Internet works by routing your requests across networks to reach an endpoint, but DNS only matters on your request attempt. The nature of DNS is that it converts your alphanumeric address to an IP address to route your traffic. If you use Google's DNS, they know exactly what you typed and will store it ad infinitum. If your traffic happens to have just crossed one of their networks, which it's likely to have done, they're only going to have the calling computer name (likely a router or switch) and the destination (also likely a router or a switch) unless, of course, your destination is Google or one of the systems in their sphere of influence.
I really don't care what you say or think you might know, based on your post, you're as snowed as any other sheep. If I can traverse the wide expanse of the Internet without doing business with Google, I am going to do everything in my power to do so. They are the definition of evil, and I prefer to have no business with them. And if you think that it requires a court order to view your Internet goings on, you're delusional. I've worked for an ISP, and I can tell you that they regularly hand over access logs with little more than a phone call from a local LEO.