Common names are okay when talking about garden vegetables and ornamental flowers but any medicinal or drug plant should be regarded according to its latin name.
Both 'african rue' and 'syrian rue' (as well as its 20 other common names) refer to Peganum harmala, the same species. Investigate the plant and when you positively identify it as Peganum harmala go ahead and do an extraction of a kilo or two of seeds
The only problem caused by leaving pod shells in is having a larger volume of solids to boil and squeeze (so just crushing the pods and boiling the shells with the seeds isn't bad)
If the plant needs to be cleared from an area the vibrant yellow roots can also be productively extracted. The leaves and stems are not worth extracting.
You really will want to confirm its identity, though.
Peganum harmala is listed as a rare noxious weed in your state with only 8 acres of infestation having been found (as of a decade ago, the last time they checked
)