I'm a second year MPH/MBA student at Claremont, my experience so far has been good if not great. My MPH program has been a 10/10, B-school 10/10. Both are very new schools, both accredited, both interested in raising their rankings; they share common interests. Claremont's Public Health school (School of Community and Global Health, SCGH) is comprised of almost all former faculty from USC's Price School of Public Health (like 90%, there was drama at USC about a decade ago and pretty much the entirety of their faculty jumped ship to teach at Claremont. The other 10% of the faculty is drawn from UCLA/UC's/Ivy leagues) and they are all well connected... they will make sure you are adequately prepared to be at a competitive level by graduation and will bend over backwards to help you land a gig if you ask them to. Drucker's nuts and bolts classes (corporate finance, accounting, organizational theories and such... the boring stuff) are taught by mostly mid-career Harvard MBA's from LA for some weird reason, the concentration classes will be taught by PhD's from various backgrounds with a crap ton of industry experience. Personally, I find the SCGH classes to be a little more interesting, but different strokes for different folks... Business school gets better after you finish most of your core (be prepared to do math for both schools. Grad school level biostats and corporate finance will kick your ass).
SCGH is a very nurturing environment where most of the student body is concerned with making the world a better place and curing AIDs etc., while Drucker is a very traditional cut-throat business school with 95% of their students caring about making more $$$ and advancing their careers... the two schools complement each other quite nicely actually if you are a dual degree student. Drucker can be intimidating at times, but everyone has to pay their dues in order to get that MBA, so just power through it.
As a dual degree student you have access to two separate giant networks (SCGH & Drucker) as opposed to one because you are actually enrolled in two different schools, which is something I am very grateful for. In SCGH you will have MPH, MD, DDS, PhD students in your classes, at Drucker you will have students from the traditional MBA, joint JD/MBA students, and FE programs. Network with them and make friends, a lot of the MBA students are already very well connected (I got my paid gig at Kaiser through a friend in the MBA, go figure). Not many people can afford the 62k/year tuition at Claremont, a lot of the student body is incredibly wealthy or their tuition is paid for by their employer (hence, they have connections).
I started out solely in the MPH program, but later I decided it would be a smart move to pair my MPH in Leadership and Management with an MBA in Finance and Strategy because it aligned with my career goals. Drucker's application process isn't very fun if you're doing a dual degree, they will basically interrogate you about why you want to do it because there were only about 10-15 slots allotted to the MPH/MBAs (Claremont is a very small school in comparison to others, there are about 2000 students total, all programs, in the graduate university). I had a 3.7 undergrad GPA (Bio from Claremont McKenna College), 2 years industry experience, and 157V/160Q on the GRE so I wasn't worried about my stats; what scared me were my 3 interviews (1 was good, 1 was bad, 1 was so-so). Basically, Claremont is a liberal arts graduate school and their philosophy for teaching is that of a liberal arts undergraduate college. They will make sure that you are a fit for them and that you will be a good ROI before they admit you.
