Starting in amthematics:
The infinite in mathematics must be differentiated: we have the sequence - 0,1,2,3...; where each number is distinct. The same goes for infinite ordinals and cardinals.
Geometry is differentiated: take the infinite straight-line, even synthetically we see positions on the line; analytically of course it is made up of points. (Note, the use of analytic and synthetic has nothing in common with how these terms are introduced in epistemology).
These are the two modes of mathematics - algebra and geometry: thus it appears the infinite in mathematics, must be differentiated. Physics, of course is intimately tied with mathematics; but one notes that there is of course no infinities (but possibly, the possibility of one).
So turning to theology:
Spinozas God, as theorised in his Ethics, the uncaused, sole and neccessary substance is infinite and differentiated - the infinity of attributes & modes that he explicitly acknowledges.
The negative theology of mainstream Islam is of an Infinite One. Can one say that it is differentiated? There are the attributes of Allah - his names - Majesty, Greatness, Beauty etc that also manifest themselves in the human world. At the same time, it is affirmed that no comparison can be made with the things of the world (the created) with Allah (the uncreated).
And then to philosophy:
Kants noumena, the existent behind the phenomena, he states explicitly is non-differentiable; it is not that we cannot know the thing-in-itself, but the world-in-itself remains behind a veil. But is it infinite?