In America you have different politicians seeking endorsments mostly from American companies and donors. There is lots of money in America compared to other countries.

In Russia, many opposition groups get support from outside countries, such as Western Europe and USA in return for advocating some reforms in Russia that benefit Western interests and likely to pose threat to some key Russian interests.

Because supporting opposition groups in countries like Russia or Middle East is very cheap for Western countries, these actions are very possible.

Of course, mainstream Russian government will never allow such actions and will fight opposition groups or get rid of them.