I don't know what they were specifically talking about, but there was a requirement in the Help America Vote Act (HAVA), 2002, that required a statewide voter registration database be established by January 1, 2006. See here. California had some problems with that (apparently due to prior SOS Shelley's inaction), so SOS McPherson struck a deal with DOJ. See here.
Notwithstanding the above, the statement is false because it said:
Organizaciones en contra de la emigración podrán pedir información de este nuevo sistema computarizado.Reportedly, such organizations would have no access to the database.Organizations against emigration can ask for information from this new computer system.
Interesting. Thanks for the research.