Do you know how to recognize secret combinations? They have secret handshakes and passwords. My community doesn't have any of those. Does your church?
Clearly you don't have a very good grasp of the concept "secret combination" as understood in LDS doctrine and scripture.
I think that perhaps you may be confusing certain historical "secret societies" with secret combinations, or individuals, organizations, groups, political entities etc. who combine against righteousness and to fight against Christ (as elucidated in the Book of Mormon) in one manner or another, and who do so furtively so as to mask the core of their true intentions and vision. Secret societies of various sorts could, of course, be a part of such "combinations," but they are neither sufficient conditions of or required by the concept.
As the Church is clearly not a secret society, and especially not one seeking political power or mass social change through political/collective societal action, your implied analogy is irrelevant.