Good question. I definitely recommend the 5-day cleanse for HepC people and HIV+ people, but that drug? It's really hard to say. Our general recommendations is to stop taking any drug while you cleanse, as most drugs are metabolized in the liver. But cleansing doesn't stop the action of the liver at all, so drugs are still effective.
I can't think if any reason why having properly clotting blood would pose a problem to the cleanse. So... only thing to do is to give it a try and see what happens and let us know!