Heidi Cruz never claimed that Ted is the face of God. Look at her actual words again.
I actually did look at her words again and thought about it, and I think you are right. I am one of those super sensitive Trump supporters ready to jump on anything Cruz says, and this time it was not warranted. What I now think Heidi was saying, because I did read some other stuff about the quote besides here, is that their Christian campaign is a chance for them to show America that God is involved with values, responsibility, etc., on a national level and in governance.
I still think Ted Cruz is the ultimate hypocrite who uses his christian faith when it is expedient like IA and SC, and conveniently puts it away in places like NH.