Russia has the highest abortion rate in the world, 53 abortions per 1000 women per year. I doubt that many of these are Muslims. I doubt the Chechnian tyrant wants to kill his troops in Ukraine. He would probably rather keep them safe for action against Putin or his successor. Of course he could send troops he doubts to Ukraine to get them out of his hair.
Kadyrov probably admires Putin but sees the country ripe for taking after his death. The Russian Army is manned by conscripts. We saw what happened with a small group of motivated Bolsheviks who took over the Russian Empire under Tsar Nicholas II