One of the things we help customers with the most is transferring their database from one computer to another. One of our developer created a little wizard to help make this easier. This tool can backup EasyWorship 2007 - V7 profiles and restore them. It allows you to backup your media along with the songs. Instead of backing up media shortcuts that are not useful on the new computer, it backs up the real file so everything works when you open EasyWorship. Check it out at
Based on what I read in the article that is linked I am 99.44% certain that it won't merge the two. What I would do in your case is create a schedule with all of the files on your home computer and save making sure to click "Pack Files In Schedule". Use the transfer backup tool to backup both computers. Do Export the Church profile to your computer. Then open the schedule you created on your computer and use the "Check Schedule For Changes" to import the files from your computer.