The Dominican healthcare system is centered 100% on doctors. Nurses are well down the food chain.It depends how they go about it - first of all it has to respond to an existing need that is recognised by at least some local professionals/potential service users, as opposed to an imposition by foreigners who think they know best. Cultivating alliances with professionals who are sympathetic or open to the idea is the way to approach it - as they seem to be doing in this case. It may not replace the current model but it can start off as a minority niche and the results ought to speak for themselves.
I agree with everything that Shalena and Laura have said about the prevailing attitudes here. There are however some gynaecologists who share her views on childbirth and breastfeeding and plenty of women too if the membership of La Leche League is anything to go by.
$$$ are scarce and when the docs in the country see that their income is in jeopardy they will call in the favors necessary to shut them down.
This group will be competing head to head with doctors with ~zero~ political or legal leverage. It's not hard to guess the outcome: they will be found guilty of practicing medicine without a license.
The smart thing to do is enlist a connected physician to be their local champion. This ain't Kansas...or Chapel Hill.