“Faith-based styles" were given such designation, obviously: because they include faith-based details*.
In Lisbon - one of the more classicist buildings, which apparently is the Municipal Chamber of the town – it has several faith-based ornaments.
In this case we are referring now to small parts of the gate registered in the photo.
There, in the basis of the fanlight (or fan-shaped window), it is possible to recognize the same circles intertwined, which guided us towards the «starting point» of Gothic Architecture**.
Such motive, blended with many other shapes (which act in a similar mode), all those details are able to transmit to the edifice - in a very subliminal manner - a certain feeling of the civic character that was conferred then, commonly, to public buildings.
*The expression is used by Robert Adam in his book entitled: The Globalisation of Modern Architecture, Cambridge Scholars Publishing, First published in 2012, ISBN 9781443839051; see: http://www.adamarchitecture.com/images/PDFs/RA-Globalisation_Contents_Preface.pdf; and also: http://www.adamarchitecture.com/books/bk-RA-Globalisation_Modern-Arch.htm
** The theme our supervisor had already searched, and suggested we could not avoid looking at it: perhaps in order to attempt a more erudite vision? Or, as it really happened, to perform the most correct, methodologically?
We reached unexplored themes, and thanks to her this changed our way of thinking.
See our initial findings: