iOS and OSX are actually mostly the same underneath at the lowest level. (However, when you get higher up the stack iOS is actually largely more advanced than OSX as it is newer and had a fresh start)
However, in this case they both use the same thing (I believe). You'll notice something about Mission Control. It isolates "windows" rather than views. On iOS each UIWindow has a ".contentID" property and CALayerHost can use to make the render server share the render context between the 2 of them (2 layers that is).
So my advice is to make your views separate UIWindows and get native mirroring for free-(ish). (In my experience the CALayerHost takes over the target layers place with the render server and so if both the CALayerHost and the window are visible the window won't be anymore, only the layer host will be (which the way they are used on OSX and iOS isn't a problem).)
So if you are after true mirroring, 2 copies of it, you'll need to resort to the sort of thing you were thinking about.
1 Option for this is to create a UIView subclass that uses https://github.com/yyfrankyy/iOS5.1-Framework-Headers/blob/master/UIKit.framework/UIView-Rendering.h#L12 this UIView private method to get an IOSurface for a target view and then using a CADisplayLink once per second get and draw the surface.
Another option which may work (I'm not sure as I don't know your setup or desired effect) is possibly just to use a CAReplicatorLayer which displays a mirror of a CALayer using the same backing store (very fast and efficient + public stable API).
Sorry I couldn't give you a fixed, "this is the answer reply", but hopefully I've given you enough ideas and possibilities to get started. I've also included some links to things you might find useful to read.
What's the magic behind CAReplicatorLayer?
http://aptogo.co.uk/2011/08/no-fuss-reflections/
http://iphonedevwiki.net/index.php/SBAppContextHostManager
http://iphonedevwiki.net/index.php/SBAppContextHostView
http://iphonedevwiki.net/index.php/CALayerHost
http://iky1e.tumblr.com/post/33109276151/recreating-remote-views-ios5
http://iky1e.tumblr.com/post/14886675036/current-projects-understanding-ios-app-rendering