The BBC has reported that, at the G20 summit, Russia's president Vladimir Putin remarked that liberalism is obsolete. Which should be no surprise to anyone. The curious part of this criticism of western 'liberalism' is that Putin's disapproval of 'multiculturalism' seems a double edged sword, and I'd like to know how Russians understand this sentiment.
In the West disapproval of migration from Muslim regions is common, as well as a general anxiety about Islamic culture. There's a fear of parallel Islamic legal systems and regions developing within western nations. However, Russia has a significant minority of Muslims, and Russia's security apparatus seems to rely upon Muslim autonomy in places like Chechnya.
The implication from a critique of multiculturalism seems that ideally Russia should have less regional autonomy and less Muslims. Which might be something of a dangerous logic given the bloody history of the Caucuses.
This impression comes from Putin's 2016 claim that Lenin created a federalist "time bomb" under the Russian state. Though this claim seems untrue, federalism was Stalin's idea in opposition of Lenin's preference for a unitary Soviet state.
How do Russians, especially Russian Muslims in regions where they are allowed to practice a different culture from that of Russia's Christians (multiculturalism), perceive Putin's disapproval of multiculturalism in the West?
EDIT: The context is Chechnya. Putin has appointed Ramzan Kadyrov to power in Chechnya. Consequently law in Chechnya has become Islamist and is neither secular nor Christian (Russian). Putin relies upon Kadyrov to maintain security in Chechnya, but in doing so he is promoting multiculturalism within Russia. Those European parties who hate multiculturalism want to prevent this.
From St. Petersberg Times, Issue #1453 (15), Tuesday, March 3, 2009:
GROZNY — The bull-necked president of Chechnya emerged from afternoon prayers at the mosque and with chilling composure explained why seven young women who had been shot in the head deserved to die.
Ramzan Kadyrov said the women, whose bodies were found dumped by the roadside, had “loose morals” and were rightfully shot by male relatives in honor killings.
Kadyrov has also forced women to wear headscarves.
Imagine if Germany's PEGIDA appointed an Islamist to rule Bavaria under Sharia law... and then claimed they are against multiculturalism. The party would implode. Chechnya has always been majority Muslim, but it hasn't always been theocratic, and its becoming theocratic is a new phenomenon. This suggests the move towards theocracy isn't inevitable and is a choice in favour of multiculturalism.
Answers can be evidenced by opinions presented in Russian surveys or media.