This seems to be true of a great many members of the Alt-Right: They start with a bias towards conservatism and tradition, and refine it with a libertarian filter, so to speak.
Some of the old coots on the right — I'm luckily an exception — are a bit put off by the exuberance and snarkiness of the Alt-Righters, and are suspicious of their motivations. But the leftists, in a way, understand the Alt-Righters a little better than that and quite correctly consider them a formidable foe. Because the Alt-Right understands the left much better than the traditional right ever could.
To paraphrase ol' Nietzche, an insightful leftist might say:
"I have seen the Alt-Right-Man, and I fear him."
And here's an introduction to the Alt-Right, from Breitbart [link]: