Are "Conservative Christians" for (Relative?) "Economic Equality"?

I don't see many "conservative Christians" discuss this topic, but frequently in the Bible there are calls for people to care for the poor, like the story of the rich man and Lazarus (Luke 16:19-31), where the rich man was condemned for having the means to help Lazarus who was poor and in need and did not do so.

Therefore, "naturally" or "supernaturally", God allows or makes people to be rich and poor which is unequal, and urges the richer to help the poorer, which makes them "more economically equal" (no?). Hence is it not a goal of "conservative Christians" to promote some kind of "economic equality" where all are able to be able to meet their needs? For the rich to voluntarily become poorer, and for the poor to become richer, or for all to have a certain amount of needs met, whether through their own earning or charitable aid?

An attempt at "absolute economic equality" would seem to be impossible or undesireable (hence I think of such economic equality as "relative"; there can still be richer or poorer, but is there a desire for trying to eliminate extremes on either end?).

So are "conservative Christians" for "economic equality", or what do you think of this topic and issue?