Its probably harder to be mistaken for a Mexican when you have a Koran and a prayer rug. Infiltration requires some deception.
Why would they want to be mistaken for a Mexican? Its illegal either way.
Do you think the Border Patrol treats suspected Muslims any differently than anyone else?
Will the coyotes refuse to take Muslims money to get them to the border?
There are 3.5m Muslims in the US and we dont treat them any differently than anyone else. Why would they care if they were identified as such at the border?