Why do you think these are core to the ideas of Socialism? If by envy you are referring to envy of private property holders, have you considered that it could be something else? The Marxian and indeed anarchist analysis of capitalism brings in the ideas of exploitation, commodity fetishism and alienation. I think it is quite incorrect to characterise Socialism as envy of the wealthy.
With regard to incompetence and brutality, I don't want to get into a match of Whataboutism, though it should be pointed out that capitalism exhibits these qualities too, in the state defence of private property all the way to sweatshop labour and overproduction.