Never the less, even in Sunni areas, I dont think it
would be helpful to describe the issue suffered by say
Shias as Sunni privilege.
So in an area where, say, Shia are openly and brutally oppressed by Sunnis there's probably no value to talking about "Sunni privilege" because (I'm assuming) the Sunnis in power are not in denial about the situation.
Contrast w/ America where the inequality is present but typically not as severe nor brutal, but a lot of whites are completely in denial of the fact that there is any systemic inequality at all.
It seems to me the better way is to empower those groups. Give them resources --be it educational facilities with an emphasis on overcoming a different framework etc. If we want people from East end London to be able to compete with people from London proper, while not building "posers" we'd want to have them understand how one can better fit into that structure (attempting to modify that structure may not be the best approach. For a look at changing an entrenched structure refer to the many revolutions which failed in their grand ambitions at changing their societies (even homogenous ones).
Further, let's say I wanted to do well in China. Do I keep on insisting on being a Yank? Or do I try to adapt to the mainstream culture, learn their "language" -which is more than just knowing Mandarin but other aspects of friendship and interpersonal relationships? It may depend if I want to work for a foreign (non_Chinese company) or local.
Again, though: I don't feel that addressing one particular facet of inequality is bad for the struggle against inequality as a whole any more than focusing on colon cancer is some kind of insult to say, breast cancer survivors.
Never the less, even in Sunni areas, I dont think it would be helpful to describe the issue suffered by say Shias as Sunni privilege. This representation is apt to create a greater wedge between the groups.
Now, as it pertains people in general, within neighborhoods with a majority class there are oftentimes a classification of people who while may suffer disadvantage outside their neighborhood will most likely experience advantage in their neighborhoods. So let's say a recent poor immigrant from Bolivia going to a south Asian neighborhood, or a Bangladeshi going into a Mexican neighborhood. These two may experience privilege in one area and lack of privilege in another.
Or, see how easy it might be for you to get a stock boy job at a Mexican supermarket in for example LA, versus how easy it might be for a Mexican national to get the job.
So privilege can be found among the many groups within the US itself, not just among whites, as might be portrayed. It's something for which we can find expression, if we look enough.