Add a "Data Profiling wizard" to generate multiple Data Profiling tasks with similar properties for multiple source tables.
First the user would choose from the tables/views in a source connection. Each table would be output to a new File Connection which could use the table name as the File Connection name and Destination. Common properties would be the Quick Profile settings or similar, applied to each table. The end result would be a set of new Data Profiling tasks (one per selected table/view), added to the SSIS package Control Flow.