They won't let you into Ukraine though. I watched Rossiya 24 and they said that Ukraine denies entry to any Russian who looks like they might plan to participate in the protests. Probably just as well.
I don't think it's true. I've heard they check more thoroughly the documents and luggage but I don't think they prevent anybody to cross the border unless there are some serious reasons (you are a criminal of some kind and they found your name in their list). By the way, I agree with Ramil that the Russian media are also involved in brain-washing. A few days ago they said there are hundreds of thousands of Ukrainian refugees crossing the border, but I didn't notice them either.
I think it's a bit sad that Russia takes so much interest in Crimea, but pays less attention to the less glamorous cities in Eastern Ukraine.
They say Kharkov is a very beautiful city with a great opera theater and it has the biggest square in Europe. My father (ethnic Ukrainian by the way) studied in Kharkov polytechnic university. He is very fond of these memories.
What a shame I missed the opportunity to see the biggest square of Europe free of charge (joke).