Mendicant faith seems to be incredible (6,6)

I believe the answer is:

beggar belief

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'to be incredible' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'mendicant faith' is the wordplay.
'mendicant' becomes 'beggar' (synonyms).
'faith' becomes 'belief' (I've seen this in another clue).
'beggar'+'belief'='BEGGAR BELIEF'

'seems' acts as a link.

Can you help me to learn more?

(Other definitions for beggar belief that I've seen before include "strain credulity" , "Thus mendicant friars" .)

I've seen this clue in the Sydney Morning Herald.

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