They will not be able to reside with you as U.S. residents. Eligibility for life insurance . Our clients report that some insurance agencies require green cards. Obtain professional license and credentials. Some states require green cards before granting professional licenses.
Dual citizenship is also possible.
You need not give up your present citizenship. Immunity against future changes in immigration rules, that could hurt your temporary permit. Access to security clearances and exemption from export restrictions. More rights under U.S. law.