Hmm ... let me think ... which presidential candidate agrees with the above voter majority? You say it sounds like the intent of one Donald John Trump? You are right on the first guess.
It is worth noting that CBS News has been anti-Trump from the get-go. Imagine the gut-ache that survey finding is causing at Black Rock. Give 'em credit for not burying the bad news. They write:
A nearly six in 10 majority of voters say they would favor, in principle, a new government program to deport all undocumented immigrants living in the U.S. illegally. (That isn't purely partisan, it includes a third of Democrats. It rises to nine in 10 Republicans.)
Not sure how 62% is "nearly" six in ten, the chart shows a bit more than 6 in 10. Hat tip to Power Line for the link.