How do I make this COMPLETELY random as well as faster?

I'd try using coroutine (i'm new to it) to make seperate threads. As for the randomness, I'm not exactly sure what you mean. This is the best I could come up with:

function onClicked()
    for i, v in pairs (script.Parent.Parent.TronT:GetChildren()) do
	coroutine.create(function()
        if v:isA("BasePart") and v.BrickColor ~= ("Institutional white") and v.Name ~= ("button") then
            print(v)
            local myArray = {v}
            local target = myArray[math.random(#myArray)]
            print(target, "is being cleansed")
            target.BrickColor = BrickColor.new("Institutional white")
            target.Material = ("Neon")
            wait(0.00000001)
        end
	end)
    end
end
 script.Parent.ClickDetector.MouseClick:connect(onClicked)

Also, I think it looks cool as-is, but have it your way.