I don’t see an upside for Putin in this. Given how many years he’s been in power anything bad that happens falls on him for failing to prevent it, there’s hardly anyone else left to blame. He’ll probably fire a few people to look as if he’s doing something.
They hate American Jews as they lean heavily Democrat, but they hate Muslims more (they also hate each other but they’ll turn on each other later, see how many Trump appointees are now blasting him).