You don't have kids do you?
There are no non-issues. hehe.
If you make it to where the school is
super-conformy everyone looks the same
has the same stuff etc.. the wealthy kid
will find SOME way to claim that what they
have makes them better than the poorer kid.
be it better crayons, or having the uniform
tailored or what-have-you.

Just the way it is, so long as Parent X
thinks they are better than Parent Y
the kids will follow suit.
(Parents will generally not believe
how much they talk about their social
standing in front of thier kids unless
you tape it and show them hehe)