Hey /trv/, any advice on safety in Western Russia?

I plan on visiting Moscow and Saint Petersburg. However, I've heard that there have been an escalating amount of Neo-Nazi violence targeted at minorities within the last decade. While I suspect the media of playing up on sensationalist fears, especially considering a couple of violent incidents in cities of a few million isn't uncommon in the United States, I'm still a bit concerned. Asian American here, if it means anything.

Stereotypical image of St. Basil's Cathedral relevant.