In general, the main differences are that we tend to make a more moderate approach (and less hard-line approach) on economic and social issues. For example, our party will tend to support tax cuts and regulation cuts, but also strive for healthcare reform and the rebuilding of our nation's infrastructure. I believe that the party will lean towards a more non-interventionist foreign policy approach (although this likely won't be an official platform) and will tend to be pro-life on abortion related issues.
I appreciate the quick and thoughtful response. I've decided to remain federalist at this current juncture as I believe it allows for the best chance at reforming the Lincoln government, but will consider your candidates in future federal elections.