I will attempt to use AE2 rv2 and then see if it that helps. If that does not, then I will work on the Ender IO. I will update this post as I find out more.
Edit: Alright I attempted to use AE2 rv2 and my client said that I would need to use at least version rv3.1. I downloaded and installed rv.3.4, which my client originally was using rv.3.5. It almost loaded up with 6/7 when it crashed again. Report:
http://pastebin.com/FuZ16LH8 I did a little searching and it appears I have the latest version of EnderIO which is 1.7.10-2.3.0.424.
I have done some more researching, using what you've helped me learn so far and I have quite a few different varieties of mod version combinations that I am going to try and see if I can find the magic numbers to make this work.
Edit 2: I have been able to eliminate the Ender IO section of the crash report by changing around some mod versions and my client will almost load up again before crashing. This time, the header mentions 'array index out of bounds exception' and something about a 'game registry:unique identifier"
http://pastebin.com/QcgaJS9i