In the dialectical struggle between the capitalist mode of production and the socialist humanist critique of the same, it is not at all improbable that a higher synthesis can be reached between the pragmatic philosophy of capitalism and the idealism of socialism, so that both the aims of capitalism (the accumulation of individual wealth) and of socialism (the development of a fairer and more equal society) can both be satisfied.
As I put it in the headline, this has already happened to an extent in most countries in Western Europe which are social democracies. In those countries (like Germany or Sweden) the state has a hand in the market for the sake of regulation and also, through taxation, redistributes the wealth that the forces of the market produce, without harming the principle of private property through the collectivization of property.
I would suggest in both modes of production (referring to Marx and other Marxist writers.) in their purest forms are just not reconcilable. Capitalism extracts sur-plus value for profit, socialistic productions seek to have no profit for the individual, seeking to provide for all the same.
Now in their current forms, their more diluted form, they are easily coincident. In fact academics have argued that capitalism accepted socialism in its evolution and self preservation, understanding to survive at times, trades unions, taxation and universal welfare has been need to preserve the work force and ideological support which is needed for capitalisms preservation.