You have never been to Russia and yet feel comfortable saying it is "something else in this regard", basing the statement on a YouTube search.

The average stats are about the same, but that's as useful a number as the average temperature of the patients in a hospital.

For the places a visitor is likely to go, Russia will definitely feel safer. Crime there is largely pushed out of the densely populated city cores and into the outskirts. In the US, it's the opposite. A downtown core looks (and smells) like a dystopia unimaginable to most citizens of the world. People are always shocked at how terrible the world cities that heard about so much look in person.

This comment of yours however does smack of that run of the mill American xenophobia, "all it takes is a few YouTube searches to witness the level of violence that exists in Russia that far exceeds anything you'll see in the US. Russia really is something else in that regard." All it takes is a few YouTube searches to find some really fucked up footage of cops violating Americans' rights every day.

Considering the US is notorious for mass shootings and gun violence, it's not at all surprising that someone would have that view. NYC is a fairly safe place, for now. So is Moscow.