I'd never thought to utilize my second monitor for the info pane and minimap, but now that it's been brought up I'll definitely try it! I will, for now, abstain from voicing an uninformed opinion on the matter of relocating the info pane and/or minimap.
As for changing the placement of the buttons, and making them context sensitive, I worry that the buttons won't be where I expect them to be, especially if their location is more fluid and less fixed, but that problem is mine personally, applies to users individually in different ways, and should only be a temporary issue until I relearn my muscle memory. Grognard gonna resist change, always

That said, I don't necessarily feel that reducing the number of clicks needed for most actions needs to be high priority. At most it feels I need 2 clicks to select a unit and 2 or 3 more to specify movement or targeting, which doesn't seem excessive. The only actions I ever take that feel like they require extra clicks only ever occur under special circumstances like when I need to eject or flee, turn on or off a searchlight, or use reckless movement.
The idea of having the map available at all times, and especially if you can add links to the report to zoom in on hexes or units is very appealing, but as others have said it should be handled with care to not interfere with having enough of the map visible at any given time, and without sacrificing readability. The more of the board is visible at any given time, the better I expect my situational awareness will be, but the reports are if anything even more critical to strategy.
Conclusion: I support any decision that leads to the game being more dev-friendly, and I think that if handled correctly it could also make it significantly more user-friendly. I'm excited to help test it out if and when it becomes a usable feature, and provide continued feedback!