I think we have answered your question by pointing out that what you wish to do can be done. We have indicated the best place to start is by contacting the Dominican Embassy in the United States.
Our supplementary points to you are an attempt to explain that this will not be an easy, quick or cheap process. From start to finish, getting all members of your family citizenship will will take more than year, maybe two, not weeks or months. By moving forward you will certainly impart to your family a good understanding of what life dealing with the Govt. here is like.
More power to you. Just be sure you appreciate what will be involved before you start. If you later choose to give up you will have just wasted time and money. As part of this process, you will need to travel to the DR several times for the express purpose of advancing your applications. In some cases, the time frame for paperwork submission in the DR will be time limited. Eg for your husband, you'll have 90 days from getting his residency visa issued in the USA to submit the necessary paperwork in Santo Domingo.
When you include the DR Govt fees, airline tickets, document procurement fees, translations, accommodations in the DR etc, this endeavor will cost thousands of dollars and up to two years of your time. Only you can decide if the benefits are worth the costs.
Good luck.