Evidence of determinism in DN 2 Samaññaphala Sutta? Was the King already a faith follower? Near the end of the Samaññaphala Sutta it says this: 


  "The king is incapacitated. Had he not killed his father — that righteous man, that righteous king — the dustless, stainless Dhamma eye would have arisen to him as he sat in this very seat." DN 2 https://www.accesstoinsight.org/tipitaka/dn/dn.02.0.than.html  


Now in the English language to my knowledge when one uses the word "would" it means something definite. By my understanding it seems that the Buddha according to this sutta is saying that if King Ajatasattu had fulfilled certain conditions such as having not committed such an offense + coming to the Buddha and inquiring etc. as he did in this sutta then the "dustless, stainless Dhamma eye" would have definitely arisen. 

So this particular statement seems entirely deterministic unless I am misunderstanding or translation is wrong. 

Was the King already a faith follower or wisdom follower?
I think the Buddha does (supernaturally) know the condition[s] in which someone might become enlightened.

Like (I don't know if this is a good example) this isn't "deterministic" but I know that "if I hit something with a hammer then it will break".

A more explicit story like that is, for example, The Weaver's Daughter from the Dhammapada commentary:


  Now one day, as the Teacher surveyed the world at early dawn, he perceived that this maiden had entered the net of his knowledge. When he saw her, he considered within himself, "What will happen?" And he became aware of the following, "From the day when this maiden heard my discourse on the Dhamma, she has practiced meditation on death for three years. I will now go to Alavi and ask this maiden four questions. On each of the four points she will answer me correctly, and I will congratulate her. I will then pronounce the stanza, This world is indeed blind. At the conclusion of the stanza she will be established in the fruit of stream-entry. By reason of her, my discourse will be profitable to the multitude besides." So the Teacher, with his retinue of five hundred monks, departed from Jetavana, and in due course arrived at the Aggalava monastery.


I'm pretty sure there are other examples of stories like that in the suttas.

I think that's part of what makes the Buddha "a Buddha" -- i.e. insight into other people so as to know how best to teach them.