I guess a new thread has to be made for this, since it's pretty much its own topic by now. @_lake or any other mods, pls move it.
Capitalism isn't an ideology, it's an economic system. You are confusing advocates of capitalism with what the capitalist class actually does. The interests of free market libertarian ideologists and the interests of private companies are hardly always the same. If it serves their private, individual interests, the upper class are more than happy to support a fascist. You have, as another example, the free market: it should be more than obvious that capitalists don't like the free market, because if they have to compete, they can't charge what they want for a product and instead they have to mind the competition. Business schools tell students to avoid highly competitive sectors like the plague.
Two important German businessmen and one economist doing the Nazi salute
Hitler privatized a lot of services and industries that were owned by the German state, so did Mussolini in Italy. The word "privatization" itself was made by the journal The Economist to describe Hitler's economic policy. In terms of private ownership, they were the most right-wing leaders of their time, only on par with Pinochet and Reagan. And another thing they had in common is the suppression of the left. Both Germany and Italy had strong socialist parties, the Communist Party of Germany (Marxist-Leninist), which gained up to 15% of the electorate, and the Communist Party of Italy (Left-communist—Leninist), which was a couple of millions strong.
The point is that fascism is not an enemy of the capitalist system as it stands, it protects it more than any other ideology for the sole reason that it applies force against the opposition. The protection of private property might not be what fascists are more enthusiast about ("muh Nation"), but that's what their ideology entails. You could point to Strasserism as a counterexample, but they were killed or sent to concentration camps only because of their opposition to the capitalist system. Strasserites held the very same social views as the rest of the nazis did, they were anti-semitic, homophobic, pro-"family values", very religious, et cetera, their only 'crime' on the eyes of the nazi leadership was that they held a view contrary to capitalism.
With this, I'm not saying that the capitalist class inherently likes fascists, nazis, or any pro-capitalist dictatorship for that matter, not at all. But they prefer them over socialists and anarchists, because it's in their best interest to secure their private ownership, while the core of socialism is the overturn of the capitalist regime in favor of economic democracy and a workers' government. If the far-left is being too much of a problem for mainstream liberals and conservatives to address, and the sustain of the capitalist system is in danger, why do you think they wouldn't resort to more radical ideas and those in favor of the suppression of the left? Who do you think supported Pinochet's coup? The conservative upper class elites did. Who cheered the many dictatorships in Latin America and Africa that killed strong socialist movements? The upper class did. Who cheered when McCarthyism was taking people who weren't even socialists in prison or to exile, just for being under suspicion? The upper class did that, too (not that they were the only ones in all cases, or that all capitalists did it).
We socialists don't underestimate our opposition, nor the lengths at which they'll go to protect their billions of dollars.