Such implies that the person with wealth has done nothing to deserve it.   It implies that the person who does not have wealth has had it stolen from them.   

No, 'distribution of wealth' has NOTHING to do with justice.   

Justice is when you get what you deserve - either good or bad - based on your actions.   

Deserving is a subjective concept.   It speaks to covetousness.   All covetous people believe they deserve more that they have received.   

So, we have effectively elevated the sin of covetousness to respectability under the guise of Social Justice.   

As to 'equal opportunity', there is no justification for giving an incompetent or unqualified person an opportunity which must be taken from a more competent or qualified individual.   Affirmative Action is un American theft.   

'Privileges' typically are earned.   They are not automatically deserved and aught not be granted without cost to the individual.   To do so, devalues the privilege to the undeserving and raises the cost of it to the one deserving it.   Privileges must be earned or granted by they person who has earned them.   

How did we become Communists?   By believing the lies of communism and willingly allowing ourselves to be deceived.