I cannot find if the NIEM and Global Justice Data Model have consequences regarding the exchange of documents and the advancement of justice processes involving not only jurisdictions but also professions and/or organizations such as Lawyers, ABA etc..

Does private industry mean private professionals in the Justice domain, as differentiated from public ones.

For your specific question, adoption and use by private industry at this time is by service providers and vendors that service the Justice and Public Safety Government marketplace. However, this does include lawyers and law firms that have a requirement to make filings with the Courts. We do expect to do more with private industry. both from the perspective of vendor adoption, and based on NIEM mission stakeholders and their requirements to exchange information with players in the private sector.

Most of these items are current programs, initiatives, and/or groups which are providing support to increase information exchange within the Law Enforcement Community.  I've provided a little text to give you some information about each item, there are many documents and additional information that is accessible within each website. 
" Information Sharing Environment (www.ise.gov): Information Sharing is a large focus of the Department's Architecture. 
" DOJ Office of Justice Programs IT Initiatives (http://www.it.ojp.gov/index.jsp):  This website outlines some of the major IT Initiatives of the Department's Office of Justice Programs.  There are a number of links to related websites and details on each of these IT Initiatives.
" National Information Exchange Model (www.niem.gov): NIEM is the outgrowth of efforts that took root inside the U.S. Department of Justice (DOJ) to standardize the Extensible Markup Language (XML) schema used to describe the information commonly used by and exchanged among local, state, and federal enforcement agencies. NIEM represents the current approach to cross domain and cross levels of government information sharing (data standards). 
" Global Justice XML Data Model (http://www.it.ojp.gov/topic.jsp?topic_id=43): GJXDM is the precursor to NIEM. The Global JXDM is an XML standard designed specifically for criminal justice information exchanges, providing law enforcement, public safety agencies, prosecutors, public defenders, and the judicial branch with a tool to effectively share data and information in a timely manner. What used to be GJXDM is now the Justice Domain within NIEM.
o  GJXDM Success Stories (http://it.ojp.gov/default.aspx?area=policyAndPractice&page=1010)
" The Eurojust Project (http://eurojust.europa.eu/): Eurojust project which adopted the GJXDM as a way to speed development of warrant and other exchanges among EU member countries, resulting in a 50% reduction in cost and time to get operational. 
" The Law Enforcement Information Technology Standards Council (http://www.leitsc.org/): The mission of LEITSC is to foster the growth of strategic planning and implementation of integrated justice systems. Together, participants from these organizations represent the law enforcement community as a whole on information technology standards related issues.  LEITSC provides functional standards for CAD and RMS.
"  Global Justice Information Sharing Initiative (http://www.iir.com/GLOBAL/): The Institute for Intergovernmental Research receives grant funding from the Office of Justice Programs, Bureau of Justice Assistance, U.S. Department of Justice, to provide coordination and management support to the Global Justice Information Sharing Initiative (Global).
o        Global Products (https://it.ojp.gov/default.aspx?area=globalJustice&page=1020)
"  Regional Information Sharing Systems (http://www.iir.com/riss/): RISS is a national program of regionally oriented services designed to enhance the ability of local, state, federal, and tribal criminal justice agencies to Identify, target, and remove criminal conspiracies and activities spanning multi-jurisdictional, multi-state, and sometimes international boundaries. Facilitate rapid exchange and sharing of information among the agencies pertaining to known suspected criminals or criminal activity. Enhance coordination and communication among agencies that are in pursuit of criminal conspiracies determined to be interjurisdictional in nature. Currently both Interpol and Europol are members of RISS.