I mean, " It favors fiscally progressive policies[12][8][13] and a social market economy with a distributist character,[14][15] that seeks "widespread economic participation and ownership"[15] and providing a social safety net program." .... "The American Solidarity Party supports a universal healthcare system as well as an economy containing widespread distribution of productive property, in particular increased worker ownership and management of their production.[25][26][27]" (https://en.wikipedia.org/wiki/American_Solidarity_Party)
That doesn't sound at all Republican to me. That sounds remarkably liberal.
Now, other parts do sound very Republican. For example, "The American Solidarity Party opposes abortion, euthanasia, and capital punishment on the basis of the sanctity of human life. It views the traditional, heterosexual family as being central to society.[13]" With the exception of capital punishment, that sounds very republican.
But my main point was that a person or party can be left in some areas, and right in others, which those positions seem to be. Simply saying "that's not what they really believe" seems like a cop out to me. How are you every supposed to have a discussion if that's your response?