In my search for better understandings, I have studied the conspiracy theory theatre rather extensively. Many who write of such kick everything over the past couple-hundred years to the Illuminati, though some venture to take it back farther to the Priory of Sion- which might never have existed, being based on Jesus having fathered children with Mary M, and thus starting a rather unique bloodline.
1. The original Illuminati were VIPs of their era, so they did have influence- though not necessarily on Christian dogma. But such is long ago.
2. In analyzing the Freemasons, first one must distinguish what levels one is talking about. My Grandfather was a VIP in Masonry, but went regularly to a rural Congregational Church, of which he was the largest financial voice in keeping said Church afloat. But he was only 33rd. It is said there is another level, higher.
3. If the Masonic community is a church community, the vast majority of the congregation is taught the same truth upon which all religions are founded- the Golden Rule. As for belief in Jesus- perhaps this is not stressed in their teachings, though I plead ignorance on this.
4. The real issue, it seems, is the role the leaders of Masonry, etc., play in the lives of the masses. Whether it's the CFR forming US foreign policy, or the Bilderberger's deciding social and political matters with where money is put in support of (some say they steer the media to focus where they have deemed it should), such as these do nothing to the Christian faith of the masses. However, one MUST open one's eyes at the world we live in: gambling is legal most everywhere, and encouraged via lottos, etc., and step back 40 years ago to see gambling was regarded as quite the opposite; and, being a man, I cannot say such is unpleasant, but when one looks at common bikini bottoms on beaches nowdays, and what they exhibit, young ladies wearing such would have been arrested 50 years ago for such a display; and, when one looks at what has happened to the state of marriage in America since the 70s, now with a generally accepted 2/3s of all marriages ending in divorce since then, and what has resulted with the children over the past two generations; etc.; etc., one does have to wonder. Bottom line: if the course of 1st-World cultures lead the masses away from Christianity, and spirituality, then perhaps there is working influence that has brought the cultures to that course.
I also must add a little something else: the so-called endgame of the wealthy and powerful "secret societies," which began with the Illluminati, is a one-world government, with what are now nations being reduced to states of said government, and all peoples being citizens of one central government. This idea is now at least 100 years old, if not far older, and was championed by Woodrow Wilson (and Mr. House) with the post-World War I League of Nations- though the conspiracy theorists take it farther back to the entire concept of the British Empire. The core of this endgame is for the ultra-wealthy, and their corporations, overtly running the world via both business and government- keeping those ultra-wealthy as the essential rulers of the world. Communism was the greatest obstacle to such as this happening; but, with the Soviets and China going the capitalist route, it would seem said obstacles are no more.
Make what you will of this. I, personally, can not see this coming to be in my lifetime, but I am not a youngster. If it does eventually happen, I foresee little impact on Religion- which exists between the individual and Creator, and Saviour. Such a ruling power would be able to tolerate Religion, and at the same time do as they please. Government hoodwinkin' it's citizens is as old as the hills, you know.
Now I must go catch up with agent J and K. Look directly into the pen. 
