Would Nature's Cure homeopathic tablets have any effect on "The pill" birth control?

Homeopathic remedies do not interact with meds.

Homeopathy is all about using infinitesimal doses to stimulate your body to return to it's natural healthy/optimal state - these infinitesimal doses (potencies higher than 6X) literally no longer have any chemical content whatsoever.

I'm not saying homeopathics don't work!

(I've seen homeopathy do some pretty amazing things, and I occasionally use it in my practice... and still I remain a hopeful skeptic on the homeopathy front, at least as it applies to serious pathology.)

What I'm saying is homeopathy is "energy medicine." As such, it cannot possibly interfere with the pharmacology of meds.

... the singular exception to this would be that, if the remedy "works" it can mean that you need to titrate down the dose of a prescribed med or even cut out the med entirely (because you don't need the meds anymore.)

St John's Wort speeds up the liver and makes your body break down medications faster. That's why it makes the pill ineffective. If these tablets have st johns wort I would recommend some other birth control.