I had a page long write up - then accidentally exited out so excuse the quick post :( 
  
You can find the .MTS files for your GH2 in the PRIVATE/ AVCHD/ BDMV/ STREAM 
  
M-lion users look at Claybatt posting Access MTS in lion 
  
In My quest to achieve the best quality from my Hack GH2, I have found that there are many workflows. 
Ways to View/ Convert/ Tanscode/ Rewrap Ect- .MTS Files 
  
My WorkFlow: 
  
1st Step: 
Download the AVCHD Plugin to be able to view .MTS files on Quicktime and work in FCP 
(have not tested in M-lion osx) 
  
2nd Step: 
Use FCP Batch export Feature: 
Open a new FCP project drag the . MTS files into FCP and Select them all and Batch Export - 
set your Settings (for my files i used 1080 Pre Res 422 24p) and Boom goes the dynamite.  
  
I dislike FCX sorry guys you're not on my level. 
  
No color gama shift, no stutter, no weird artifacts frames, smooth she sails. 
  
  
Tip:  
When Exporting for web use this little guy 
Fixing Quicktime Gamma Bug - Plugin Component 
  
  
www.kingthebear.com