In 2008 I moved an 01 300 engine into an 04 frame, and did several early 2008 posts about that, and how I made it work, with excellent advice from forum members. Reviewing those posts may be of some help.
Now the initial question here in this post is about moving 01 parts into an 05 frame, not into an 04 frame like I did. From what I've heard, 05 frame tabs were in slightly different locations, as compared to 04 locations.
So if in fact the frame tabs moved (I not sure myself, but I heard they moved) there are more problems to be addressed than I faced and solved, as described in my early 2008 posts.
Good luck,
Prentice