I admit I may not have enunciated the OP very clearly, and that is because I had more than one issue in mind. I’ll try to restate it although I’m not sure I’ll do a much better job.
But before I do, I want to point out I do not endorse any type of theocracy, and I find politicians’ lies and hypocrisy quite disturbing.
I live in Eastern Europe and this question does not refer solely to the United States. It is hypothetical in the sense that AI is not used in decision-making processes on a global scale, we’re not all people in positions of authority and we don’t use AI to influence people or implement policies.
The OP consists of the following question:
What would you do if you were in a position of authority and the AI you use to see how you can be more successful recommended that you resort to religion?
The question includes three assumptions: (1) you have access to AI that can assist you in decision-making processes involving social issues; (2) you are in a position of authority; and (3) the AI suggests you should resort to religion to increase your chances to influence people and implement your policies.
My answer to this question is that I wouldn’t. I would not resort to religion just because some AI suggested I could increase my chances to influence people and implement policies by preaching religious tenets.
Above all, I would be circumspect about allowing AI to assist me in decision-making processes involving social issues. I don’t say I wouldn’t use it at all, but I’d be really cautious. For instance, AI can be very useful in handling large amounts of data and analyzing them to identify objects (including individuals and phenomena) that fall into trends/patterns or out of them. But to decide on my political approach based on AI’s suggestion, that in my opinion would be unthinkable.
However, I think we’re nearing the day when politicians will be increasingly assisted by AI. Virtually every successful politician I know of makes use of more or less shrewd advisors who offer paid-for guidance to their patron regardless of their own personal attitudes and values. The cynicism of the situation where a politician employed AI would be even greater with the added advantage that the politician wouldn’t even feel it.
Few people in authority refrain from lying or being hypocritical, especially when it comes to issues tangent to religious beliefs. Among politicians, there is already a widespread predisposition to invoke or allude to God or religious beliefs. I think they would be glad if they were endowed with specialized software that could teach them how to perfect the skill of influencing people and implementing their policies by means of religion.
In conclusion, I think the advent of AI assisting people in positions of authority does not augur a bright future for ordinary citizens. AI can be more machiavellian than Machiavelli himself and it will only enable politicians to polish their demagoguery and pursue their own goals at the expense of the ordinary citizen, who will find himself manipulated and subjected to policies that do not benefit him to a greater extent than today.