Yes, hopefully some of the federated republics will start civil wars to break away from the Russian empire. Continue the disintegration process that started in 1991.
Hoping that a nuclear power breaks apart is a nightmare. This is true for states like Pakistan but when you have a stockpile in the thousands and a nuclear logistical distribution like Russia it is nearly guarantee that we have several (terroristic) nuclear explosions over the next decades and probably half a dozen rogue states more.
And do not assume that this is a peaceful transition. Putin is very much concerned about the integrity of Russia.
You can draw a straight line from the USSR breaking up, to Ukraine giving away their nuclear weapons via the Budapest Memorandum, to the invasion of Ukraine by Russia (which was a signatory). States are going to be less likely to give up their nuclear weapons, even with treaties, because treaties can be easily broken.
What is not yet visible, but might be a bringer of future conflict, is the many turk nations that could form a federation of there own. Turkey, Aserbaidschan , Turkmenistan and the Uighurs even, could form quite a mini-union themselves. If they manage for once to be at piece with all the other ethnicities they traditionally supressed similar to the russians.
Seems very unlikely to me. Between things like permissive action links, maintenance require to keep the bombs in working order, and expertise in how to use them, I would be dubious of rogue states getting them, wanting to use them, and actually being able to execute on them. Terrorists tend to have some sort of goal. Not just scary bad guys who want to blow stuff up. We typically see nukes are just used to establish legitimacy of authoritarian rulers via idle threats. using nukes is a losing move.
Putin is only concerned about integrity of his own political power and physical body. There is bunch of regions and cities in government databases that was never ever under any kind of military control. Russia is literally have imaginary state border.
Concern does not equal the ability to prevent or master a situation. Putin was also concerned with aquiring ukraine. Between that dictator impersonating aparatschik, the ground is liquifying as we speak.