She’s dangerous to Amon, his militia and to his regime.
Why? Because of who she is.
Consider her identity to the people of Republic City, the daughter of a wealthy engineer/inventor and heiress to her father’s fortune and company. Whilst her father, Hiroshi was aligned with Amon and the Equalists, she is not. In fact, she rejected her father’s views (something that must’ve been incredibly hard for her, as he was her only family and her role model) and instead sided with the Avatar because she believes it is the right thing to do.
She is a role-model to other non-benders, her actions show that there are better ways of dealing with the inequality, and that the Equalists have much more insidious plans.
She’s been shown to be level-headed, calm, intelligent and driven. In the moments that follow after the revelation that her father is aligned with Amon, she rejects him and turns his technology against him, and against Amon’s General, defeating him - something that Korra and the other benders struggled to do. (She’s also a pretty great driver too).
In the latest episode, “When Extremes Meet”, she directs the rest of Team Avatar in their pursuit of the chi-blockers. She maintains a calm demeanour and for this reason is the best stabilizer and counter-balance for Korra’s fiery temper and rashness.
She’s dangerous to Amon for more than just be a role model for other non-benders, she’s a capable fighter and a combat pragmatist. She disabled two chi-blockers (with the aid of the rest of the team) with one of the shock gloves, and has been shown to be able to fight on par with strong chi-blockers (the General).
Consider this: when a bender is disabled by chi-blocking, their combat ability is greatly reduced. They rely too much on bending and so when it is taken from them, they are quickly overwhelmed. Asami (and other non-bending fighters) on the other hand, suffer a less dramatic decrease in ability.
Her status in Republic City, her combat training (and father’s technology) combined with her keen intellect, drive and calm demeanour make her a dangerous adversary, and a great ally to Team Avatar.