I agree, but here's the problem.... it's not just a run-of-the-mill "organization". It (the vatican) is a country with a certain sovereignity, with the pope being some kind of head of state.
Technically, "shutting it down" would include invading a nation, annexing it and overthrowing its government.
Technically, that would be an act of war.
Stupid lawyer talk, but it is what it is.
Neither Vatican City nor the Holy See are sovereign states. I can get into the details of why if you're curious.
... but speaking of "lawyer talk" - generally, each diocese is incorporated separately. This is what's let the Catholic Church as a whole, in many cases, avoid paying compensation to abuse victims: the one diocese that had the judgement against it files for bankruptcy, but the Vatican and the other dioceses - since they're separate legal entities- aren't forced to pay the balance.
For the most part "shutting down the Catholic Church" would mean shutting down a few hundred(?) separate corporations that have a loose affiliation with each other. If that leaves Vatican City intact as a place where the Pope can ineffectually complaining about how his church is hard done by, that would be pretty well equivalent to shutting down the Catholic Church as a whole.
Personally, my approach would be to just repeat the approach that was used for the
Mount Cashel Orphanage: after the abuse there was uncovered and the Christian Brothers were successfully sued, the orphanage property was seized and sold to developers, with the proceeds going to the victims. The developers demolished the orphanage and built a supermarket on the site.
If there were a way to repeat this worldwide, only without any burden of legal costs on the victims, that would be fine by me.