What you are saying does not even make sense.
Creating Islamic states within non-Islamic countries is caving into the Islamists and they do not have to kill us all to takeover. They are advancing across the West because of political Islam. How about Muslims across the West keep pushing until they get their way? Lets start with Dearborn Mich. Do they have a right to go their own way? Lets just break up entire countries to please Muslims. This way they can just expand from their own Islamic states within non-Islamic countries. They are also calling for their own states with France, China, Thailand and the Philippines. Maybe everyone should just cave into them. Sounds like a great idea.
Also the new President of Chechnya is a fundamentalist.
Chechnya was Islamist for centuries, and it can't be changed easily. Stalin tried, didn't work. Another option is to cast them aside; Yeltsin did that, didn't work either (it turned into today's Somalia.)
What Russia is doing now can be described as follows: "Keep your friends close, keep your enemies closer." If need be, first wave of troops can be back in 30 minutes. But with good intelligence (which is now possible) you don't even need to be that fast.