There is no harm in taking Suboxone
together if you adhere to the dosage prescribed by your doctor. If you exceed the dose, then there is a risk of respiratory depression
and sedation. Since you have been well for around a week now, it is time to start tapering off the chlordiazepoxide. You can take around a week to ten days to finally stop it. Both medicines should not be tapered off together. In my opinion, start with chlordiazepoxide and by the time you are off it, you might have found a doctor under whose care you can come off Suboxone as well.
Hope this helps you. Best wishes.