While Russia is no blissful happy place for LGBT neither are some states in the USA -
http://www.rollingstone.com/politics/news/the-5-worst-states-for-lgbt-people-20141124
http://fusion.net/story/313047/lgbt-violence-statistics/
There are no "Goodies & Badies" in this USA vs Russia argument, just different shades of grey with all sides doing some pretty nasty stuff to their own citizens.
Just like a strong government needs a strong opposition to prevent it going too far, a strong "world leader" like the US also needs strong opposition to prevent it going too far. However, after 70 years of negative press against Russia (some rightly deserved) it's difficult to see them in a positive light.
those articles are a bit out of date following federal laws.
but at least in the usa LGBT people can still get a drivers license.