*what they believe it's the most important document in history (because most have been indoctrinated from a very young age to believe so)
That's certainly not true of reputable translations - you can easily verify this by just glancing at something widely available like e.g. an annotated version of the NIV - the scholarship and scrupulous attention to detail is evident.
Does that sentence say that Smith is the best candidate? No, it says that Johnson thinks that.
Would it be better if it were reworded to “…were motivated by a desire to seat who he thought was the best candidate as President”? No, that would just be redundant.
Does the original sentence imply that Johnson holds an unbiased, objective opinion of Smith? Of course not. If anything, it implies the opposite!