This report has it right. Cruz wants legal status for all illegals and to only deport those who have committed added crimes here.
From Cruz’s website:
https://www.tedcruz.org/cruz-immigration-plan/
My evaluation of that:
http://www.freerepublic.com/focus/news/3366423/posts?page=204#204
https://www.youtube.com/watch?v=4CwVrfydjOI&feature=youtu.be
From your link: