If I understand, you have 2 Win 7 computers. If you re-image the second computer, and it worked, the entire drive would be redone and you would have to deal with licensing issues.
You can't just move programs over, since they need to be reinstalled to put the correct information in the registry. About the only thing I can think of is Windows Easy Transfer in the Accessories-System Tools area which moves your settings and data. You can research that in Help and Support