I have been in touch with TapaTalk coders more than one year ago. I have analyzed their code and honestly I didn't like that much, because they rewrote almost everything to provide feed to their app. It isn't just a plugin, it's a whole new system...
I don't know if something has changed recently... but honestly I wasn't happy with that code, so I decided to improve the mobile version of Icy Phoenix by working on a responsive template and HTML 5 upgrade (which in my opinion is the real way to go for every website in the future).
I understand that the app offers something extra than a simple template integration, but it would require a lot of efforts for me to adapt their plugin to Icy Phoenix... because TapaTalk coders weren't willing to help.
If someone is happy to work on this integration, I can help. But I'm not working on this on my own, since I have most important things to finish before.
I hope you understand.
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