Dependent Origination, 'here-&-now' & 11th & 12th link
In the quote above I cannot see any 'self-views' are subject to aging
  &amp; death.


The quote about 'aging-&amp;-death' only includes one word in common with the definition of 'birth' ('jati'). This one common word is "beings" or "satta". A "satta" is literally defined in the suttas as a "self-view", as follows: 


  'A being,' lord. 'A being,' it's said. To what extent is one said to
  be 'a being'? Any desire, passion, delight or craving for form, Radha:
  when one is caught up there, tied up there (visatta), one is said to be 'a
  being.'... Any desire, passion, delight, or craving for feeling...
  perception... fabrications... consciousness... when one is caught up
  there, tied up there, one is said to be 'a being.' SN 23.2
  
  visatta: adjective: strongly attached; entangled.
  
  
  
  Why now do you assume 'a being'? Mara, have you grasped a view? This is a heap of sheer constructions: Here no being is found.
  
  Just as, with an assemblage of parts, The word 'chariot' is used, So, when the aggregates are present, There's the convention 'a being.'
  
  It's only suffering that comes to be, Suffering that stands and falls away. Nothing but suffering comes to be, Nothing but suffering
  ceases.
  
  SN 5.10


This answer to the question is not 'atheist' &amp; 'secular'. It is what the Buddha literally taught.