Your best bet is to make your own general war campaign for SFC:EAW..
.. you could go into Assets/Scripts/Campaigns/, copy one of the files there for the race of your choice to a different name..
.. ie: general-fed.mct
.. edit it (it's just a text file) and remove all "Uni_" or "ISC_" missions. Change the information at the top to match the description you want to see, and you're done. The new campaign should be available for choosing with a new single-player campaign.
-- Luc