Creates the Screen Illinois Initiative Act. Authorizes the Department of Public Health to establish the Screen Illinois Initiative to increase the number of mobile health screening unit hubs in the State. Provides that the Screen Illinois Initiative funding shall be used to support the operations of the mobile health screening units by covering purchases, maintenance, salaries, and costs under the Act. Establishes requirements regarding the mobile health screening units and the protocols for follow-up care and appointments. Requires the Department of Public Health to adopt rules. Defines terms. Makes other conforming changes.