I think I have solved my own issue. As stated above when I was trying to import sequences from another sequence it was brining in a dup copy of the same clip in the sequence. I was able to successfully have it not do that.
What I realized was happening is that even though the source footage video file is identical in each project file, when I opened it up the clip in the source monitor I had different IO points set for each version of the clip in each project. PPro I am assuming imported the second copy to preserve the IO points on the second version of the clip that was being imported.
I simply cleared each set of IO points on each reference of the clip in the project file and I was able to import the sequences I wanted without bringing in an additional copy of the source clip. So now I just have one copy of "Video1.avi" in my project file instead of multiple.
Hope this helps someone in the future who may be experiencing a similar issue.
Shane