I think the answer in part will depend on how much time your dw door remains open. Mine is open after a meal and when I am unloading, so no more than a few minutes at a time. It is usually closed while I prep, so from that standpoint it wouldn't make much difference. On the other hand, which location makes the most sense in terms of loading and unloading? My preference would be to put it where it's most convenient in that respect (sorry, I don't know where your dishes etc. are stored). No kids here, so my experience may be very different.
The orientation of the sink should be whichever way makes the most sense for your prep style. That's the reason you bought it, right? And although I don't have any little people in the house, I do know that it won't matter which side they are supposed to use to wash up, they will use the side that is most inconvenient for you at the time.
Sorry I wasn't more definitive.

Thanks so much for the feedback! Very helpful.

The Stages 45 sink is so large that with 2 faucets, it may not make a big difference which way you orient it. I have the shelf on the right which is also where my DW is. As far as which side I use to wash hands or prep, it varies according to what else is going on near the sink and whether I have any of the accessories in use. I know that's not much help but your set-up will be so versatile that I think you will adjust quickly to whatever arrangement you decide on.

I am guessing you will be prepping on the left since it is closer to the range.

In that case, I would like the dishwasher to the right because I do a natural progression of prep to clean.

However, what are you planning to store in the pullout? If it's your cutting boards and then knives on top, that would be useful for prep, so that might be a point to leave as is.

The 12 inch pull out will hold dog food in a trash can with a lid. My knives will either go back on a magnetic knife holder to the right of the sink or into the 36 inch drawer stack. I plan to store cutting boards and the stages accessories in that 36 inch drawer stack.

I am going to move the dishwasher back over to the right side of the sink. I naturally work in that direction and was planning to put the dishwasher on that side (moving it from it's current location to the left). The negative feedback I got here led me to put it in the left. But truthfully neither one is an ideal location.

Still not sure which direction to orient the stages sink.

Thank you all!

I can't really see your floorplan very well so this is general feedback, not specific to your layout.

The most convenient place to prep is between sink and cooktop so I'm guessing this is where you'll be prepping. I would do anything to avoid putting a DW there. You mentioned kids. If you want them to be able to help in the kitchen, like help with dishes, putting the DW in the prep space means they can't help while you're prepping. Do whatever you can to prevent DW in prep area. That is where my DW is now and I'm getting anxious for our project to get farther along so my DW moves out of the prep space. It's a constant annoyance to both of us. It makes it extremely difficult for one of us to clean-up while the other cooks. I think it's the worst kitchen planning mistake someone can make. Period.

I also like to keep the DW open when prepping. It makes clean-up virtually non-existent when you can put dirty items directly into the DW instead of on counter or in sink and then into DW en masse later. Better to have DW at or near the end of a cabinet run in order to do this. This isn't as mandatory a reason as the above-paragraph but it really does make clean-up so much quicker. You really shouldn't have to rinse things off before placing them in the DW. Just pop in and done. Easy-peasy!

I don't have a Kohler Stages so I can't speak to that. I hope you have enough space to place your DW outside of the sink area so you can use the full sink width for prepping and cleaning without the DW being in the way.

Our dishwasher is currently in the prep space. (It was that or no dishwasher when we move in to this house which didn't have a dishwasher--or any other functioning appliances.) That doesn't bother me honestly. I don't leave the dishwasher door open much and I don't load much while prepping. I think the bottom line on the dishwasher location is that neither option is ideal, but the drawbacks people associate with both just don't bother me that much. I do prefer to load to the right though. So I'm going to put the dishwasher to the right, out of the prep zone and blocking the breakfast nook entry.