It has always been the left who has opposed means testing, because they want a universal (e.g., socialist) system.
What I do see are many who are fed up with constantly being the ones asked to give while other subgroups are allowed to continue right on taking without so much as a suggestion they do with less for a change.
For example, wasn't Lindsey advocating amnesty not long ago? Where was his concern about the costs of that little program?