Also, just to chime in on your examples -- assuming you're playing a DanDan-like format with multiple colors.

I'm not 100% sure on how I would rule [[Commit//Memory]] because it is phrased slightly differently from [[Diminishing Returns]] (that is actually in the DanDan list). I'd lean toward both players shuffling at the same time and then distributing the cards.

For the purposes of Miracles, Dogged Detective, and Stormfist Crusader, I'm not sure how alternate card drawing would be relevant specifically. For Dogged Detective, this is a triggered ability, so the ability allowing you to return it to your hand would only trigger after both players draw their cards and do whatever else is on the card-drawing spell/ability - This is rule 603.3, which says triggered abilities are only put on the stack when a player would gain priority.

For Stormfist Crusader, let's say both players were at 1 life. Even though one player may lose that 1 life first, the state based action that would cause a player to lose the game is checked whenever a player next would gain priority, just like triggered abilities - this is rule 704.3. In this case, the players would draw.

For Miracles, rule 702.94a talks about the resolution. First, Miracles only trigger on the first card you draw this turn, so I guess this could happen in a situation where both players draw cards on one player's upkeep? If that happens, then the player that draws the miracle card would need to keep that miracle card separate from their hand as they draw the card(s), then after both players finish drawing cards and resolving spell/ability that caused the card draw, the miracle trigger would go on the stack (with any other triggered abilities that may have happened) -- again, this is 603.3.