The inactives are more or less irrelevent - we're just going to get rid of the whole mess! You can use methanol or IPA to extract the pseudo. This is going to bring the ibuprofen over with it, and it will be the majority of what is left after you filter and evaporate your extractions. All we have to do now is a simple cold-water extraction. Have you ever made codeine or vicodin juice? Same idea...
We take everything and dissolve it into cold water - try not to use that much - or just the right amount because you either have to let it dry or will have to reduce it, depending on what you are planning on doing with it next. Anyway, dissolve it into cold water and stick it in the freezer. After 30 mins or so, when it gets as cold as it is gonna get and everything solid sinks to the bottom, you can decant the solution and filter - seperating the ibuprofen from the water/pseudo solution. Let it dry or proceed to the cook ...
Take care,
o7