Umbridge favours power, not ideology. She didn't need the Imperius Curse to behave wickedly.
Janoma's answer to the question of whether Umbridge was a Death Eater or not makes this point. It's important to understand Umbridge's motivations. She doesn't care much about which laws she's implementing or which regime she's propping up. She cares about being in a position of authority where she can intimidate the powerless and punish those breaking whatever the law happens to be at the time.
In Order of the Phoenix the Ministry is anti-Dumbledore so she devotes her efforts to countering Dumbledore and Dumbledore's Army. Her objective is to reclaim Hogwarts for the Ministry and to frustrate the work of those who are trying to proclaim the return of Voldemort. She takes a lot of pleasure in punishing Harry with her blood-quill and in forcing Dumbledore out of his job. But it's not out of commitment to the cause. It's because it makes her feel powerful.
So she sees no contradiction in Deathly Hallows in enforcing a completely separate set of rules. Here she's punishing Muggle-borns for their lack of wizarding heritage, as well as punishing petty criminals like Mundungus Fletcher. She doesn't care that the Ministry of Magic has undergone a 180 degree change of direction under Voldemort. She merely sees an opportunity to cement her position within the Ministry. Although she did have fairly unflattering views as to the place of Muggles (which probably extended to Muggle-born witches and wizards):
After a glass of sweet sherry, Dolores was always prone to spout very uncharitable views, and even those who were anti-Muggle found themselves shocked by some of Dolores's suggestions, behind closed doors, of the treatment that the non-magical community deserved.
(Pottermore, "Dolores Umbridge").
That, combined with her lust for power, was why the Death Eaters were happy for her to keep her position under Pius Thicknesse.
When the Ministry was taken over by the puppet Minister Pius Thicknesse, and infiltrated by the Dark Lord's followers, Dolores was in her true element at last. Correctly judged, by senior Death Eaters, to have much more in common with them than she ever had with Albus Dumbledore, she not only retained her post but was given extra authority, becoming Head of the Muggle-born Registration Commission...
(Pottermore, "Dolores Umbridge").
She has no morals at all so the use of the Imperius Curse is unnecessary. She will do whatever she can to maintain her power, regardless of what she is asked to do.
That's what makes her such a truly frightening character.