I'm a little confused.
The Everio is a hard drive camcorder, so I don't think your issue is related with how it connect to your PC.
PowerDirector can't capture anything from the Everio camcorder.
You can only import the clip.
1. I think it will be better if you can copy the clips from Everio to your PC before you doing anything.
2. Then you can import the clips to PowerDirector and merge them in Timeline.
3. Produce the project to a file or MOD format if you want copy back to Everio camcorder.
BTW, the MOD clip is almost the same with MPEG2.
So you can try to modify the extensions from mod to mpg.
Then it might be able to be recognized by other software.