I'm not aware of any way to shut down any vehicles engine but keep the electronics active. Well, a hybrid will shut down the engine on stop usually and keep electronics going, but that's irrelevant to your question.
I have not done it on the QX60 yet, but all my previous vehicles had a way off the touch screen to send the call from the car to the phone so you can then shut the car down and continue your call on the phone itself.
I'm not often on my map screen so I don't have an immediate answer for the 2nd question. I know when I'm on the XM or radio screen I can hit the status button and it brings up the bottom half of the screen with mpg, nav and other info. Does it show what you want if on the nav screen and you hit the status button?
I have not done it on the QX60 yet, but all my previous vehicles had a way off the touch screen to send the call from the car to the phone so you can then shut the car down and continue your call on the phone itself.
I'm not often on my map screen so I don't have an immediate answer for the 2nd question. I know when I'm on the XM or radio screen I can hit the status button and it brings up the bottom half of the screen with mpg, nav and other info. Does it show what you want if on the nav screen and you hit the status button?