What made you return the GS3 besides S-Voice and a few other quirks of ICS?
What makes you want to switch to a Note 2 from an iPhone 5?
I'm betting it's mainly the screen size and s-pen right? The Note 2 does seem like the most fun, interesting, fully feature Android phone out there.
Maybe consider returning the iPad Mini and getting a Note 2 instead of getting rid of the iPhone 5?
I have an iPhone 4S and have been using a Note 2 as my main phone for about 2 weeks. However, I found it too big to use as my main phone. I going to switch back to my iPhone 4S as my main phone. I'm still keeping the Note 2 because it's replacing my 7" Android tablet.
Not sure how much you rely on Siri or Reminders. Or facetime or airplay. I miss Siri and Reminders the most when I'm using my Note 2.
S-voice and Google Now can be a replacement for Siri. S-voice is very similar to Siri, but feels like a poor copy. Google Now has some advantages over Siri, but missing a number of features that Siri has.
Google Now is much faster than Siri. Siri voice synthesis sounds robotic compared to Google's natural sounding voice. S-voice sounds freaky to me.
Google Now doesn't do some basic stuff that Siri does. I can't just create a simple reminder with Google Now like "remind me to get an oil change tomorrow at 3PM".
Also Google Now and s-voice doesn't play nicely with bluetooth in the car. When I have the radio on in my car, siri voice prompts will play through the car audio system through bluetooth when activated similar to answering a phone call. Google Now and s-voice does not. With Google Now and s-voice, the radio continues to play through the car speakers while Google Now and s-voice voice prompts comes out of the Android device making it almost pratically useless in that situation. I use Siri a lot when I'm in the call. To get directions, to make phone calls, to play my music, and to create reminders.
As for the apple ecosystem, I never really seemlessly integrate an Android device into it. It's because I have many apps on my mac and iOS device that rely on iCloud. For my Android device, I just mostly rely on Google services. My Android device always felt like a stepchild that doesn't really fit into the family. I do try to use a third party service like Dropbox. I use 1password on my Mac, iOS device, and Android device and all my data is sync using dropbox.
I understand sometimes a bigger screen can be a big draw. Just make sure the 5.5" isn't too big to be practical for your lifestyle.