~”...a prophecy that at least in part has been repeated by a number of general authorities/LDS prophets.”~
You’re mixing up two different things. It’s easy to do, because some of the verbiage is different. There are many authorities that have said that one day the Constitution of this country will be hanging by a thread, and that, if it is to be saved, it will be through the support of the LDS Church. Sounds like good citizenship to me.
This is -NOT- the so-called “White Horse Prophecy.”
The “White Horse Prophecy” essentially says that Mormons will take over the US government. It is false. It is poppycock. It is also derived from a -very- dubious document, then twisted further when doing so matches the given agenda.
~”...because some of the verbiage is different.”~
Rather, because some of the verbiage is the same.