I do not know which mod it enters in conflict with tbh.

But when I do not have enough inventory on me to receive every item from my corpse, this is the menu it turns into.

Well I can assure you Inventory Profiles Next doesn't in any way influence what UI is shown
we just add the sort buttons on top of what is shown

unfortunately I can't see what is the problem.

can you try to describe it?

Oh, sorry.
The original menu is this:

Then somehow it transforms into the one I have in the other screen.

Tho it is most likely nothing to do with Inventory Profiles, sorry