All currancy should have there own tab, This would solve invantory space issues.

[Rongway]

If you are carrying all of those things, you probably do not have inventory issues; you likely have either hoarding issues or activity prioritization issues.

Adding those currency tabs might work around individual people's hoarding problems; however it would require increasing the data storage for everyone. As regular inventory items it does not matter what progress anyone has made and how many different items they are hoarding--the data storage is the same. As currency items, every single character's data would get bigger even if they aren't carrying any of the items, which is why the Currency window is so limited to begin with.

Addendum:

To add to my previous reply,

Most of the items in OP's list are not of lasting use. They have a singular purpose and you need a very finite number of them, however many you require to make one of each relic that you care to make, and then you never need another one again.

Example: You need at most 57 of each Manderville ore, plus one ore per restat if you somehow don't pick the right stats the first time. You should be able to get the stats right within one restat, and then you never need another one again.

Example: You need at most 13 of each Luminous [Element] Crystal, and then you never need another one again.

Example: You need at most 130 of each Unidentifiable anima weapon item. After this, two of them have no other use. The other two can be used to purchase soil and nothing else, but the soil is also available from other sources.

It would be wasteful to move those items to Currency and have them take up permanent space in the data structure when the vast majority of people won't need to collect or spend them after just one or two relics, if they want to make any relics to begin with.

[Jojoya]

you likely have either hoarding issues or activity prioritization issues.

I'm in agreement with Rongway. Don't hoard those items for future use. Get rid of them either by using them or discarding them. They'll be easy enough to reacquire later if you need them in the future.