Induce to become religious? (4,2,7)

I believe the answer is:

lead to believe

I'm a little stuck... Click here to teach me more about this clue!

'religious?' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'induce to become' is the wordplay.
'induce' becomes 'lead' (leading is a kind of inducing).
'become' becomes 'believe' (I can't justify this - if you can you should believe this answer much more).
'lead'+'to'+'believe'='LEAD TO BELIEVE'

Can you help me to learn more?

I've seen this clue in The Globe and Mail.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.