Welcome to RootsChat.
As the earlier reply by Skoosh explained, it was not a Catholic uprising for a Catholic cause. It's far more complex.
This article in Encyclopaedia Britannica explains the context. "The Revolution of 1688"
https://www.britannica.com/place/United-Kingdom/The-Revolution-of-1688#483189The struggle for the crowns of England, Ireland and Scotland between King James and his son-in-law, Prince William of Orange, was a small part of a major war between European rulers which eventually spread to overseas colonies in the Americas, India and Africa. King Louis of France, whose ally was King James, was on one side. Practically everyone else who mattered was on the other side, opposing the expansionist ambitions of King Louis. Opposing rulers included Emperor Leopold (Catholic), King of Spain (Catholic), the Pope (Catholic, obviously), King of Sweden and Stadtholder William of Orange.
The League of Augsburg also known as The Grand Alliance was formed in 1686 by Emperor Leopold and kings of Spain, Sweden + others. England joined after William became king. The War of the Grand Alliance (aka War of the League of Augsburg) was fought 1689-97. William commanded the Alliance armies at some major battles on the European Continent.
Peace was short-lived. The War of Spanish Succession was a continuation of the struggle for power in Europe between the Bourbon (French kings) and the Hapsburg dynasties.
An article from an Irish viewpoint about papal contribution: "Why did Pope Innocent XI support the Orange?" by Joe McVeigh, 11th July 2017
www.judecollins.com/2017/07/pope-innocent-xi-support-orange-joe-mcveigh/Apparently there was a painting of Pope Innocent blessing King William's army. It used to hang in Stormont (the seat of N.I. Parliament, now N.I. Assembly) until someone objected and vandalised it.
History was never simple.