They have the same "authority" they had before -- the suffrage.
If you meant, 'do I believe that they have lost the moral high ground to preach about the vital nature of one aspect of the Constitution by championing a fumbling would-be pseudo-autocrat who is at best operating extra-constitutionally and quite possibly in direct contravention of other portions of that document' I would say "yes" -- while noting that they will never recognize much less acknowledge the logical and ethical fallacy in which they are engaged.
I once had a chap on this forum ask me how I, a small government conservative, could oppose abortion -- since any legislation thereupon by government would be intrusive to the individual. As in, how could I keep calling myself a small government somewhat-libertarian and, at least implicitly, call for greater government intervention into people's everyday lives.
It was a darned good question. And one I not only took days to answer for myself, but to which I still review/consider my stance every once in a while.
I would not expect that level of reflexive evaluation from the Trumpian Core.
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