Of course - you could always lerave the Chechens to get on with their own affairs in their own country.
Last comment for today...
In the past it was independent (relatively) territory, and one of main sources of income was robbery and supplying slaves to markets of Osman empire. The same as with Crimean Tatars that supplied turkish garems with nice Russian, Ukrainian and Polish girls.
Lots of russian soldiers died there, Russia take control of Caucasus, and south of Russia become much more safe place to live after that.
In facto, they get independence in 1990's, and as you can imagine, one of most popular sources of income again become kidnapping for ransom, together with slave labor exploitation. They tried to expand for Daghestan one time, and together with massive terror bombing in Moscow caused second massive conflict, finally killing any hopes for independence (Russia MUST control this territory just for their own safety). I do not expect any changes there.
If they will get independence third time - it will last not so long, because of chechen national "business style"... We will have to fight them again and very soon.
You kept Chechenya but an average Russian has nothing from it
As I said, I'm electronic engineer. Can say which requests we constantly got in 1990's... "Some device (transmiter) that covertly worn on a kid and matching compact receiver with direction finding capabilities carried by parent. Must indicate that transmitter is out of reasonable range and allow to send signal by pressing on top of transmiter."
So, I don't think that people living in southern Russia has nothing from it.