Here are the "topical" verses that Artful Codger mentioned. I have inserted links to explain some of the topical references.

VERSE 5: This is the time for politics,
    But I don't care.
The winning man each party picks,
    But I don't care.
O'er new recruits, each is effusive
For that chair is Oh! so elusive,
But one can win, that is conclusive.
    That's why I don't care.

CHORUS 5: I don't care. I don't care
Which of the two does win.
There's Ted who's a wonder, and ne'er makes a blunder:
I know he won't begin.
I don't care. I don't care.
There's no doubt that they're a mighty even pair.
Either Parker or Teddy we'll welcome when ready,
    And I don't care.

VERSE 6: Judge Parker's friends say he will win,
    But I don't care.
But teddy's friends say he is "in,"
    And I don't care.
But if Teddy is elected,
One good man is being rejected.
Parker's sure to be respected.
    That's why I don't care.

CHORUS 6: I don't care. I don't care
Who gets majority.
He'll be might lucky. I know he'll be plucky,
And happy ought to be.
I don't care. I don't care
Who gets into the presidential chair.
Each one will be loyal, and treat us "right royal,"
    So I don't care.

VERSE 7: The trusts they say are doomed to die,
    But I don't care.
To crush them out young Hearst will try,
    And I don't care.
He thinks the Journal rules the nation,
That he has been our sole salvation.
Has he bumps of imagination?
    Surely I don't care.

CHORUS 7: I don't care. I don't care
If folks say he has 'em bad.
He went out for glory. It's quite a sad story.
He came back "to the bad."
I don't care. I don't care
If what I'm saying makes the dear boy swear.
His hopes were many. His chances, not any,
    But I don't care.

VERSE 8: Kuroki is a wiry Jap,
    But I don't care.
For Russians he don't give a snap,
    And I don't care.
He's small, but he knows fighting science.
In him, Japan does place reliance.
In Russia's face, he flings defiance.
    That's why I don't care.

CHORUS 8: I don't care. I don't care
How much ammunition's used.
The czar's hopes are fleeting, his army depleting,
And Nick feels so abused.
I don't care. I don't care
How much he tells the little Jap "Beware!"
Ever since the beginning, they've kept right on winning,
    So I don't care.