Do you only think about dominating someone when you're attracted to them?

No.

I.E., if you find yourself wanting to give someone little instructions, or thinking about hurting or punishing them, does that mean that you're kind of into them?

It is possible, but not allways aplicable.

Or is feeling that way about people in general just part of your Dominant identity, and doesn't mark any particular feeling about that person in particular?

Perhaps, perhaps not. It would of course depend on the individual.

"It is said, in a Gorean proverb, that a man, in his heart, desires freedom, and that a woman, in her belly, yearns for love. The collar, in its way, answers both needs. The man is most free, owning the slave. He may do what he wishes with her. The woman, on the other hand, being owned, is institutionally and helplessly subject, in her status as slave, to the submissions of love."Slave Girl of Gor - Page 180