All modern Western-like societies involve some amount of indirect redistribution already. Outside of extremely peculiar places like Singapore or the Gulf states, it's just not seen as desirable or even sensible to have extreme wealth alongside people living in extreme poverty on the equivalent of less than a dollar a day. This actually used to be relatively common in the 19th century, it was the actual kind of widespread pathology that early social reformers railed against.
It is still extremely common today, if you look at the demographics along the Atlantic Coast of the US. The richest zip codes always have poor ones nearby.