2 SSRS Instances, one in native mode and one in sharepoint integrated mode with PowerPivot and PowerView on same server
So after messing with this off and on for a while I figured it out. It is possible. All this was done on one server with SharePoint 2013 enterprise and SQL Server 2012 Enterprise with SP2.  

I have a default SQL server instance with all features selected, specifically the shared features "Reporting Services - Sharepoint" and "Reporting Services Add-in for Sharepoint Products". Then you have to run through the installer again and add a new instance. Then select "SQL Server PowerPivot for Sharepoint" (relational database check box at this point was not needed). After you do this you have to activate this feature in SharePoint. Here is a blog on how to do the PowerPivot setup.

Make sure this instance is at the same service pack level once you install it. After this I followed this walk-through, starting at step 2, to enable SSRS in SharePoint.

That is pretty much it. I now have a native SSRS site and SharePoint integrated SSRS site as well as PowerPivot/PowerView all on the same server. All databases are on the default instance. I only have SSAS installed for the PowerPivot instance and that is it.