When people retweet your tweets, mention you in their posts, or add your posts to their favorites, they are looking to connect with you. In a way, you could even call it honorable. Someone rated your profile so high that they want to connect with you is a kind of honor. I would advise you to take an example from Commissioner Michael Grayum, whose tweet I watch regularly. He runs it skillfully and users like it. Perhaps you can take some tips from Michael Grayum and run your page similarly.