Marxists can define capitalism and socialism with precision. But when people defend capitalism and when people argue against capitalism, they are referring to different things. People defending capitalism are defending markets and "the invisible hand" as a mechanism for positive social development. People arguing against capitalism are arguing against monopolies and market distorting accumulations of wealth.
Trying to convince people that capitalism doesn't mean markets is not a good rhetorical strategy. Instead, you might accomplish your goals better by helping people realize that socialism and govt regulation can lead to stronger, healthier markets.
My overall point is that capitalists and anti-capitalists use different definitions of capitalism and therefore the arguments are doomed to futility.
Capitalists generally do not care about markets in the abstract either: what motivates them is class domination. But they don't want to state that plainly, and so dress up the discourse with talk of markets, efficiency, etc etc.
The defining feature of capitalism is ownership of the means of production aka capital, by a capitalist class. Socialism is common ("social") ownership of the capital, and thus the abolition of the capitalist class.