I would not cheer too much. Putin is trying to use the Russian Orthodox Church for political purposes. Also there are legal problems for non-Orthodox churches operating in Russia.
All is not as it seems.
Actually, it's exactly as it seems. Russians are acting like Russians and no longer like Soviets. That doesn't mean they're going to be the US, France, Italy, or any other sort of country with any sort of system that hasn't always worked in Russia.
They'll go through decades of being ruled by near dictators and their cliques along with reviving and funding everything they can that is traditionally Russian. That includes the Orthodox Church, and that includes making it difficult for Muslims and everyone else who isn't Orthodox. That's the way they've been and until they get through the strong man era (if they do) I really don't see why people expect anything else.