Federalists vs. Republicans

I have got to get this straight.

Federalists:
-John Adams
-Pro-navy, to protect shipping and get out of paying tribute to the Barbary states (including Tripoli, Algiers, Morocco)
-Anti-army, because who needs it?

Republicans:
-Jefferson
-James Madison (seriously, doesn't that sound a lot like "John Adams", just phonetically speaking?)
-Sympathetic to the French revolution (until it became a bloodbath)
-Anti-navy, because of the cost and likelihood of it dragging the country into war
-Very conscious of severely limiting size and reach of federal government
-Anti-tax as much as possible
-Anti-debt

Note on Jefferson: even though he was theoretically anti-navy, when he succeeded Adams as President, he authorized three warships to go to the Mediterranean in order to get out of paying tribute to the various Deys and other Barbary rulers.