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Birdpoop has the core ingredient of saltpeter
This phrasing doesn't make sense.
K(potassium), P(phosphorus), and N(nitrogen) are found in guano, but that's any animal(including human). Bird poop and bat poop are just the ones that quickly build up. But the core ingredient of the poop isn't saltpeter(KNO3), at least not until it starts to crystalize and develop, since coming from the body it isn't KNO3. And, bird poop isn't really, the core ingredient of KNO3 because a chemical like it can be made in many ways, but one of the most common historical processes only needed guano, and water(but water wasn't an ingredient)
I'm afraid your interpretation of that phrasing is the only thing that doesn't make sense here.
X has the core ingredient of Y?
If you take that literally, that would mean that X contains the core ingredient of Y.
In the case of KNO3, i guess is that oxygen?
Then you could also say: Air has the core ingredient of saltpeter?
Instead of going to KNO3, go to bird shit. From there, do your best to continue in a way that is logically consistent.