I was just looking for chapel requirements, etc. and it came up.
I think LMU is not overly religious (unlike a Pepperdine which is) and I know Jewish kids who have gone to USD.
But any Catholic/Jesuit schools will have imagery and outfits!!
It looks like LMU has a big transfer class (400+ per the CDS) and USD just under 300.
Your daughter (not you) should reach out to each school and ask to speak with a student ambassador - who could then answer all your questions.