This is a classic 4" drop tandem axle setup. If you want more clearance, I'd pull the drop axles and swap them for straight axles. You can reuse the brake hubs, so it won't be that expensive.
Moving a drop axle under the spring to gain back clearance would be like taking two steps forward and two steps back. You end up at the same place you would with a straight axle setup placed in the correct position - that is with the axle is on top of the springs.
Placing an axle underneath the springs is common alright - a common mistake that is. Folks do it to gain clearance, but that doesn't make it right. It's a weaker configuration and I've never seen an axle manufacture recommend it.
Also, if you remove the nuts for the u-bolts that hold together the springs and axle, you should replace at least the nuts and maybe the u-bolts. The nuts have indentions pressed on the outside that slightly alters the alignment of the threads. This keeps the nuts from loosening up and coming off altogether. Once you take them off, they will no longer hold as good. They are considered to be one time use components. You will need a good impact to do this.