Any license issued without a "Cedula" present and legit, will be as good as a black market piece of plastic when you get into an accident and/or major vehicular problem in the DR. In fact, that's the very first criminal charge you'll face after losing any insurance coverage as after effect, etc...
Yes, you can pretty much get a fighter jet pilot license or anything under the table in the DR, just as much as you can find them back home from all sort of sources.
A lot of people have found that going under the table to get important legal documents in the DR, creates more problems than what they solved as they got them.
Getting a Cedula based on a temporary residency permit is not out of this world in the DR, compared to getting an anything residency in more than half the world today.
The list doesn't end here of people that "know" or where "issued" permits, etc, that they claim are as good as the real deal, until they hit the wall of reality when things go wrong.
Not worth the trouble you'll surely find yourself into later on as things go the other way for you...