The truth is the truth. And so-called “welfare state capitalism” is just a new name for Lenin’s New Economic Policy, which is no less socialist than any other permutation.
And all forms of fascism are leftist. Mussolini was a communist at the outset of his political career and merely modified his belief system away from state atheism and de jure state ownership.
However, it is difficult to ignore the respect for the military, nationalist feelings, patriotism, etc. associated with lots of fascist governments.
Although good Christians, Jews, and conservatives would never be racist or antisemitic, overt racism and antisemitism are more likely to sprout from bastardized versions of conservatism than bastardized versions of liberalism.
We can make strained claims that the leftists are the true racists because they are the ones keeping Blacks on the "welfare plantations" and that liberals are the true antisemites because they don't support Israel 100%, but that's just silly. Liberals far outnumbered conservatives in the civil rights movement, were much more accepting of interracial marriage, and there's a reason why Jews feel more comfortable in the Democrat Party and are generally afraid/hateful of anything smacking of populist conservatism such as Trump's presidential candidacy, e.g. case in point Kristol.
We can make the claim that there really was no such thing as communism or fascism. That all there ever were were oligarchic governments that painted over their authoritarian policies with the pretty colors that aided them most in oppressing the peoples of their countries: radical reds for the Communists, conservative browns for the Fascists.
There are even those that claim that there have only ever been capitalist economies. Some capitalist economies such as the Soviet Union were just degenerate monopolistic versions of capitalism. In a similar vein, it is argued that what we have in America is a more plutocratic or oligarchic form of capitalism.
Again, I don't know that it is helpful to try and use the fewest terms to describe what's happening in the world of politics and economics.
What fascism and communism might have in common is that they are both materialistic ideologies. If we as Christians wish to conserve Christianity and thus identify conservatism with Christianity, then we can say that both fascism and communism are opposed to us. If we claim to be on the right, then I guess that puts them on the left. But that seems too simplistic to me.
Are conservative Hindus who wish to retain their cultural ways really leftists because they don't want to conserve Christianity? That doesn't make sense.
Are libertarians whose beliefs are closest to those of classical liberalism also leftists? Many are materialistic and not particularly religious. But in what sense would it make any sense at all to lump fascists, communists, and libertarians into the same group?