No need for Napoléon, many of religious changes were product of long-term trends in France. There are three dimensions of Reformation.
1. theology : Catholicism promotes worship of the saints and the Virgin, belief that salvation can be achieve with acts and divine grace, 7 sacraments during life. During the late 17th and Early 18th c., the Church in France had a very large proportion of jansenists, especially in the upper-class laicity. Jansenism promotes the belief that salvation is achievable with grace only. The popes sought to eliminate jansenism, but the french secular institutions protected the believers. In late 18th c., theism was on the rise, not strictly a protestant movement, but one which promotes direct contact with contact and disregard organized worship.
2. ecclesiology and Church discipline : in Catholicism, the communion with the pope is central, all Church leader must recognize the pope's authority, which is the only true source of episcopal nomination. But, since 1520, Church leaders are in their overall majority named by the King, not the Pope. The Pope only confirmed episcopal nominations. A large part of the Church in France promoted Gallicanism, meaning cherrypicking of the Pope's discipline decisions. For instance, the Jesuit order was abolished in France against the Pope's decision. The Church is divided in regular and secular clergies and the priests cannot marry.
3. land ownership : the Church owned many lands. Most reformation policies tend to suppress regular clergy ownership and transfer their property to lay authority. Since 18th c., a version of this policy is common in "enlightened" catholic country : suppression of regular clergy ownership and transfer to secular clergy, such as the Commission des réguliers in France and the suppression of congregations in Tuscany.
In 1789, all this trends in french Catholic Church were emphasized and put to a higher degree of systematization. The Revolutionaries organized a fully Gallican church, in which regular clergy was suppressed, secular clergy leaders were elected by the believers, secular ownership was transferred to the nation, priests were payed by the State and they had to put the Nation's interest before the Pope's decisions. This Civil constitution of the Clergy did not touch the Catholic theology, who continued to be ruled by the Pope and the Church canons. Anyways, while the Pope may have went with the land ownership transfers, the ecclesiology issues were too much. The centrality of the Pope's authority upon the Church, including bishops' nomination, went first. The priests who accepted the Civil Constitution were excommunicated.
In short, if you want a kind of anglican-style, protestant-lite reformation in France, you just need the Civil Constitution to prevail. OTl, this was one of the causes of the civil War in France, but if there is no external war, maybe the government could succeed, after some decades of religious propaganda and replacing of the existing clergy.