As I said in the other article, the Church considers both the Democratic and the Republican Party compatible with LDS theology.
CFR. The Church has said that there are good church members in both parties. Please show where the Church has claimed that both parties, their platforms, guiding ideology, doctrines, teachings, philosophy, and policy prescriptions, can be dumped onto the straight and narrow way in a lump, and members, on their way down that path, can rummage through both with impunity and while never taking their hands off the iron rod.
Indeed, the church takes no stand on partisan politics at all. Where it does and has taken stands is on
ideologies and ideological movements within society and within political parties that are hostile and incompatible with the gospel - and a viable civil society.
The ERA was one such situation, and that almost all of the doctrines and ideological movements tending to social, cultural, economic, and human disintegration over the last forty or so years, have been aided, abetted, supported, glorified, encouraged, and funded, almost solely from within the Democratic party.
This is not because there is anything inherently evil or corrupt about any particular party, per se. The reason is that, as far back as the 1930s, the Democratic party began a long and tragic association with the Left. That association finally bore fruit after the sixties, and the consequences are with us today.
The fundamental problem is that the Democratic party is a post-American party subscribing to a fundamentally anti-American, anti-constitutional, and anti-liberal ideology. It is also, therefore, a post-gospel party.
It could have been the Republican party (and please, the Republican party is more than corrupt enough to be on the short list here), but the Democratic party chose to move down that road to a far, far greater extent than has the Republican.
Furthermore, I don't think right wing is an accurate description of the LDS Church politically; its more center right.
I don't know of any empirical evidence that shows the Church membership as anything other than overwhelmingly conservative or "liberal" in the European/U.K. sense.