With any Google software product, you need to remember one thing: You are not the customer. You are the product.
I agree entirely, and I do not use Google services for that reason.
However Android tablets do not require you to be connected to Google. They'd like you to log in, but none of that is even remotely required. I have an older Samsung Galaxy Tab 10.1 here; it was in other hands before (a company unit) and is configured for a Google account that I don't even have a password for. This doesn't prevent me from using it. I also had a Nexus 7 tablet a few months back (bought for my parents,) and it has no connection to Google either. It's just a small computer; you can configure it to reveal all your inner thoughts, or you can configure it to be silent. Nexus 7 came preloaded with Google Widgets that insisted on a login. I dragged them into trash; that's all that I had to do, essentially.
But if you want to mess with Google you can always create a junk account, enter entirely fake personal data, and have it all connected. Google will know about this account's browsing habits, but it would be pretty hard to attach a real name to it, unless you give it to them voluntarily. In exchange they offer you some convenience. Perhaps this would work for some uses but not for the other.
To compare Android tablets to Apple products: iPad requires your Apple ID to activate; this instantly binds the tablet to your real name. Android tablets require no activation; the Nexus 7 came ready for use out of the box, I only had to charge it up.