Hi,
Is there some sort of a programming interface that would allow one to read the schedules and airport minimum connection times from AS ? I’d like to make myself a tool to analyze connection possibilities for interlining 
Rereading your post, I have to say I'm not sure at all. There have been people that used an airline's full flight schedule to build ways to see flight plans and actual flights in progress. Might be possible.
In principle you write a program to access the web pages and decode the html that you get back. However I don't think that the T&C clauses permit this. See http://en.airlinesim.aero/wiki/index.php/Tutorial/1.5/general/General_Clauses §4.II
As I see to it, using Adblock Plus is also illegal… wow