Do you have links to the Cruz briefs? I haven’t done a search for them yet to see if they are available to the public at large.
Illinois Election Commission (53 Mb file!)
Cruz Motion to Dismiss Texas Fed/Schwartz 4:16-cv-00106
Cruz Motion to Dismiss Utah Fed/Wagner 2:16-cv-00055-JNP
Cruz Motion to Dismiss Florida/Voeltz 15-022044