Like a lot of the commenters here, I'd have t agree with it being about perception. For example, if there wasn't a notification center for Andriod, how else could you have a fast and fluid way to be notified about your information? With WP you always had the live tiles which even before the action center provide more fluid information from that apps most important to you. Now with action center that is magnified with ease of access for wifi, airplane mode, and things like that. I've asked friends on both iOS and Andriod, how fast can you send out a group email to your closest friends on facebook, or see what your sister posted on twitter, while looking at what your wife posted on Facebook? That answer is you can't without opening both apps. Like one person posted, this is what makes WP unique. Somone mentioned about Myfitness Pal. I actually liked that app, but if you looked at Bing Health and Fitness, you might not want to use Myfitness Pal again. We are creatures of habit, and sometimes breaking those habits are harder then making new ones. WP doesn't have all the apps, and some of the renditions aren't as good, but they have some apps that are just flat out better. 6tag is better then instagram on any platform. Mix radio was so good on WP that Nokia made it available for Andriod, but it's still not better. Off line navigation on Here Drive and Here +. Drive mode native to the phone that turns on the moment you start you vehicle to shut off all incoming notifications. Cortana that even in beta is on par with Siri and Google Now. A photo experience that has been on top since Nokia released the 920 over two years ago. The best start screen display of any platfrom. If you noticed iOS 7 adoped flat displays, and the HTC One seems to have live tile like functionality.
To fully accept WP from Andriod or iOS you're going to have to fully except a different approach to what you're used to. A lot of people that I work with who have complained about Andriods myraid of apps included at purchase of the phone that you can't delete, or stoping certain apps from running in the background, or finding out how the widgets work. Yet, the shear look of how foreign WP looks, is enough to keep them with what they have dispite the complaints. Just like moving from Windows 7 to Windows 8. It seemed like such an evolutionary jump because of the appearance. As for apps like Hangout, the Rooms feature on WP is far more integratable and connected, you just need to have Windows Phones to show it.
I had a gmail account when I bought my first Andriod as you needed one to set it up. I really never used it, because I still had yahoo. I did like that fluidity that it seemed to have with everything else google. I had a hotmail account that I used a little with yahoo upgrading their service and when I purchased my WP I created a Live account. I like how easy I was able to integrate everything with my live account to include my outlook account which I used at work so things were easy to understand. Skype integrates completely with your MS account and with Cortana integration, it will start to show it's true potential. Another reason why I think WP got away from the whole Me tile integration was to open the doors for Skype messenger to take a more prominant role. We'll see.
The one thing I can say is while Andriod and iOS are on top, you best believe they hear WP coming up from behind.