how old is your derm?
The prednisone calms the inflammation and that is ok. However, the clobex is a class 1 steroid (strongest ever) and may worsen acne. Minocycline is great for acne, but side effect include pigment deposisits in acne areas, and quite phototoxic (makes you very sensitive to the sun). Long term use of minocycline can cause hepatitis too.
heres what i would do: get benzoyl peroxide (panoxyl bar, or this is what proactive is) and wash twice a day with. continue with the minocycline, but stay out of the sun. no need to take prednisone long term (corticosteroid induced acne happens a lot, but usually long term). then stop the clobex and use clindamycin solution. just tell your derm u refuse accutane (he cannot force u) and you want clindamycin solution. your acne is going to clear up fine, just a matter of a few more weeks. don't scrub too much, and don;t pick, you shouldn;t scar.