The infinitives in your first two examples seem to be nominal (i.e the goal=to succeed). To me. 'the always goal to succeed' sounds strange.
That in the third example seems to be adjectival, a modifiers of open.
Are you sure that those are grammatically the same kind as the example of 'temptation'?
(The last one seems to be the same kind, but I'm not sure on this one)