Deism
Contemporary middle-class readers might have praised him for his honesty, and most English readers would have also enjoyed the negative depiction of the Catholic Church. Contemporary authors such as Defoe (himself a merchant) were quick to point out the government's own hypocrisy in taxing citizens at will, while calling others who seize money 'pirates,' although this was contextualised as a means of moral, not legal, standing.
Caraccioli argument is not that of a typical deist, and is certainly twisted towards a self-serving end far beyond what any contemporary mainstream deist would have claimed. There is shrewdness is in his use of terms like "Reason," and his rational arguments argument based on physical observations.
Readers interested in American history may find the this article useful, from the Colonial Williamsburg Journal: http://www.history.org/foundation/journal/spring09/deism.cfm
Readers interested in the character might find useful this text from the Stanford Encyclopedia of Philosophy, selected from the chapter on "Enlightenment":
Deism is the form of religion most associated with the Enlightenment. According to deism, we can know by the natural light of reason that the universe is created and governed by a supreme intelligence; however, although this supreme being has a plan for creation from the beginning, the being does not interfere with creation; the deist typically rejects miracles and reliance on special revelation as a source of religious doctrine and belief, in favor of the natural light of reason. Thus, a deist typically rejects the divinity of Christ, as repugnant to reason; the deist typically demotes the figure of Jesus from agent of miraculous redemption to extraordinary moral teacher. Deism is the form of religion fitted to the new discoveries in natural science, according to which the cosmos displays an intricate machine-like order; the deists suppose that the supposition of God is necessary as the source or author of this order. Though not a deist himself, Isaac Newton provides fuel for deism with his argument in his Opticks (1704) that we must infer from the order and beauty in the world to the existence of an intelligent supreme being as the cause of this order and beauty. Samuel Clarke, perhaps the most important proponent and popularizer of Newtonian philosophy in the early eighteenth century, supplies some of the more developed arguments for the position that the correct exercise of unaided human reason leads inevitably to the well-grounded belief in God. He argues that the Newtonian physical system implies the existence of a transcendent cause, the creator God. In his first set of Boyle lectures, A Demonstration of the Being and Attributes of God (1705), Clarke presents the metaphysical or “argument a priori” for God’s existence. This argument concludes from the rationalist principle that whatever exists must have a sufficient reason or cause of its existence to the existence of a transcendent, necessary being who stands as the cause of the chain of natural causes and effects. Clarke also supports the empirical argument from design, the argument that concludes from the evidence of order in nature to the existence of an intelligent author of that order. In his second set of Boyle lectures, A Discourse Concerning the Unchangeable Obligations of Natural Religion (1706), Clarke argues as well that the moral order revealed to us by our natural reason requires the existence of a divine legislator and an afterlife, in which the supreme being rewards virtue and punishes vice. In his Boyle lectures, Clarke argues directly against the deist philosophy and maintains that what he regards as the one true religion, Christianity, is known as such on the basis of miracles and special revelation; still, Clarke’s arguments on the topic of natural religion are some of the best and most widely-known arguments in the period for the general deist position that natural philosophy in a broad sense grounds central doctrines of a universal religion.
Enlightenment deism first arises in England. In On the Reasonableness of Christianity (1695), Locke aims to establish the compatibility of reason and the teachings of Christianity. Though Locke himself is (like Newton, like Clarke) not a deist, the major English deists who follow (John Toland, Christianity Not Mysterious [1696]); Anthony Collins, A Discourse of Freethinking [1713]; Matthew Tindal, Christianity as Old as Creation [1730]) are influenced by Locke’s work. Voltaire carries deism across the channel to France and advocates for it there over his long literary career. Toward the end-stage, the farcical stage, of the French Revolution, Robespierre institutes a form of deism, the so-called “Cult of the Supreme Being”, as the official religion of the French state. Deism plays a role in the founding of the American republic as well. Many of the founding fathers (Jefferson, Franklin, Madison, Paine) author statements or tracts that are sympathetic to deism; and their deistic sympathies influence the place given (or not given) to religion in the new American state that they found.
https://plato.stanford.edu/entries/enlightenment/