I have had this exact infuriating conversation too many times to count.
The only thing Mormons love more than preaching obedience and how people shouldn't rely solely on logic in making major life decisions is talking about how much the church emphasizes personal study and formal education.
The church is seeing some major complications right now. With the popularity of the internet, members are starting to get a real inside look at the history that we were never taught in Sunday school. Marriage equality and the ordination of women are two issues at the forefront at the moment.
A few months ago, prominent Mormon feminist Kate Kelly was excommunicated for organizing a group of women and asking permission to enter the priesthood session at conference. All women in the church are asking for is to be on equal footing with the men in charge. They want the ability to bless their ill children and be involved with baptisms and decision making. This is something the leaders (through the holy PR department) have made clear will never happen. Much like how they said black members of the church would never receive the priesthood.... An eternal truth they later redacted in 1978.
From the time the ban was instated, until the day it was lifted many people would ask why such a policy would be in place to begin with. Why would God and the church deny black members one of the most important steps to salvation? The response would be that God work in mysterious ways and its not our place to question his methods.
It is usually at this point that people will state that they are uncomfortable with blind obedience and that any policy with a "because I said so" answer is not something they are willing to support.
Members will explain the importance of personal prayer and scripture study, that everyone is capable of receiving personal revelation.
This year the LDS website released an essay addressing the complicated issue of race and admitted that the policy was merely a result of Brigham Young's racist feelings and that God never sanctioned such a ban. It is important to note that several men who petitioned for black men to be ordained in priesthood were excommunicated, much like our good friend Kate Kelly.
Now this seems like a complicated issue to bring up doesn't it? All those years of the priesthood ban would've had members praying to god and receiving personal revelation that it was wrong, a revelation they would get excommunicated for. Today we have many women in the church praying to god and receiving personal revelation that the ban on women being ordained is wrong and are getting excommunicated for it. They are being criticized for challenging the prophets even though we have been shown that the prophets have been gravely wrong in the past. So what is the response people are giving these women when they talk about their personal revelations? That obedience is a virtue and the prophets "will not and cannot lead us astray!"
This circular reasoning giving you a headache? Me too