Republican white house for years...

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Trends:

Grant
Hayes
Garfield
Arthur

Reconstruction America would have elected Ed Gein, had he been the Republican nominee.

No "trends" or "patterns" can be inferred from the Reconstruction years.  Unique point in history.

right after the Civil War you're probably right, but Hayes had to steal the election.

No doubt he stole that election. Both parties were very very dirty in the 19th century. Read about how Poe died. He died from alcohol poisoning. Democrats in Baltimore got him drunk and forced him to vote 5-6 times in a mayoral election. Plus in 1876 I think some southern states EVs weren't even counted or they were thrown out.

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Beginning with Andrew Jackson, all 19th century presidents started sucking and kept getting worse.

And sadly the first Republican elected president was the worst one!

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I generally dislike Cleveland. He was rather anti-labor and against almost all federal aid, even though many areas drastically needed it during his time. Though he was probably better than Harrison, who was basically a giant lump who took up space in the White House.

When the labor strikers in Chicgao durring the Pullman strike stooped the U.S. mail than Cleveland had the right and the responcibilty to use force against them.

First, I agree that Cleveland was an exceptionally good president.  Second, didn't Truman effectively do the same thing with the railroads, nationalizing them?

Nationalizing the railroads was the death of the railroads. The railroad is in very sorry shape now due to nationalization.