Internet Brands (the owner of this site) acquired Tapatalk rival Forum Runner, so I don't think Tapatalk integration will happen anytime soon :P

But as flyandive pointed out, there are dedicated apps available for both iOS and Android devices:
http://www.airlinepilotforums.com/ru...available.html
http://www.airlinepilotforums.com/re...phone-app.html

Hope that helps!