This looks about right. I could imagine that, as the Dem-Reps evolve and splinter (and gain support in New England more over time), the more outwardly anti-Catholic Federalists shrink into the Know-Nothings (likely still called Federalists).I would say that the Federalists survive, they're just a smaller party confined mainly to the "deep north", that is New England. They either continue to exist and evolve into a more anti-Catholic Know Nothing-esque party or a party like that splits off from them. This distatste for Catholics evolves out of two things: 1) the existing anti-Catholic sentiment in New England where the party elite and support base are 2) the idea that Catholic groups, like the French and Spanish, being given language and cultural preservation rights erodes America's national unity and is a threat to the centralized, united country that the Federalists want.
To be honest it might not be the best to follow that wikibox. I didn't have any ideas for the post Dem-Rep era, to be honest, and I could definitely rework that wikibox some!The Dem Reps are pretty likely to split up IMO. The Federalists and Democratic Republicans are already both fairly broad parties in terms of ideas, and lack cohesion. The shrinking of the Federalists preserves their unity, but I think that, at the very least, the Dem-Reps are going to split into factions, however, I doubt that the Whigs will exist as we know them (they are named as successors in the Dem-Rep wikibox though).
I definitely agree, though, that the future of the Dem-Rep party sees it separating into a couple different parties -- and have a couple names and basic stances:
Nationalist Party -- generally Dem-Reps and moderate Federalists who oppose some centralization but not others (think Henry Clay or DeWitt Clinton -- who would likely be heads of the party depending on when it forms).
Agrarian Party -- the more idealistic, Jeffersonian Dem-Reps: the yeoman is the real American type, etc. Very against businesses, very against big government, etc.
And probably other parties: likely a Free Soil Party (or related anti-slavery group) headed particularly by former Federalists and Northern Dem-Reps,