Sorry, I am not following you. Decision problems have the form of "What do you do in situation X to maximize a defined utility function?"
It is very easy to transform any causal modeling example into a decision problem. In this case: "here is an observational study where doctors give drugs to some cohort of patients. This is your data. Here's the correct causal graph for this data. Here is a set of new patients from the same cohort. Your utility function rewards you for minimizing patient deaths. Your actions are 'give the drug to everyone in the set' or 'do not give the drug to everyone in the set.' What do you do?"
Predictor algorithms, as understood by the machine learning community, cannot solve this class of problems correctly. These are not abstract problems! They happen all the time, and we need to solve them now, so you can't just say "let's defer solving this until we have a crazy detailed method of simulating every little detail of the way the HIV virus does its thing in these poor people, and the way this drug disrupts this, and the way side effects of the drug happen, etc. etc. etc."
Bayesian network learning and Bayesian network inference can, in principle, solve that problem.
Of course, if your model is wrong, and/or your dataset is degenerate, any approach will give you bad results: Gargbage in, garbage out.
Yann LeCun, now of Facebook, was interviewed by The Register. It is interesting that his view of AI is apparently that of a prediction tool:
"In some ways you could say intelligence is all about prediction," he explained. "What you can identify in intelligence is it can predict what is going to happen in the world with more accuracy and more time horizon than others."
rather than of a world optimizer. This is not very surprising, given his background in handwriting and image recognition. This "AI as intelligence augmentation" view appears to be prevalent among the AI researchers in general.