there is a reason why I am on your home page. Either you have circled me, you have circled someone who reshared my post, or you've read this in "what's hot."
You can uncircle me if you accidentally circled me. You can uncircle someone who has reshared my story if you find it that offensive. You can mute "what's hot" by moving it down to never show me. You can also mute this story on a one-off basis if you don't want to follow it. Control belongs to you 100%
Each of us controls what is in our network. I find by and large I like what I see on Google+. It's mostly a mix of photography, stuff from my friends, and interesting insight and commentary. If I see something so overwhelmingly banal sometimes I'll uncircle the source of where that banality came from.
You have absolute control over what you see on Google+. Each of us do.