CFR
This statement on political neutrality seems to do just that....The Church’s mission is to preach the gospel of Jesus Christ, not to elect politicians. The Church of Jesus Christ of Latter-day Saints is neutral in matters of party politics. This applies in all of the many nations in which it is established.
The Church does not:
Endorse, promote or oppose political parties, candidates or platforms.
Allow its church buildings, membership lists or other resources to be used for partisan political purposes.
Attempt to direct its members as to which candidate or party they should give their votes to. This policy applies whether or not a candidate for office is a member of The Church of Jesus Christ of Latter-day Saints.
Attempt to direct or dictate to a government leader.
And it's from President Newsroom, so we can call it "official".
Now, let me point out the logically inconsistent, conceptually hazy, and sophistic nature of what you are attempting to do here.
Core to this is the fundamental, key point, that by your own admission, the Church is politically neutral:
This statement on political neutrality seems to do just that....
But, the entire thesis of your posts has been that:
...neither of the two biggest political parties are incompatible with LDS theology.
Now, you can have it one way here, but not both. Either the institutional church is utterly neutral, regarding partisan politics, or it isn't. If the platforms, teachings, philosophy, and policies of both, one, the other, or any party is compatible with the teachings, philosophy, and political implications of LDS doctrine, then the Church is not politically neutral at all but a sponge capable of absorbing virtually anything from both parties.
This, however, is also tantamount to claiming that the church is not only not politically neutral (being a cypher for a potpourri of the politics of both parties) but, by being open to all political theories and policies, has no political relevance at all, nor any means by which its own doctrines can be understood in relation to various political doctrines.
I think the main problem here is that you are confusing the political position of the institutional church with both its doctrines per se, and the political responsibilities and calling of its individual members as Saints living in the world but being not of it. The problem for LDS is not party, but ideology and policy.
Those are very different states of affairs.