Some of the moves (proposed or in motion) include:
1. Designating Antifa as a terrorist organization
Trump has announced plans to officially label the anti-fascist movement “Antifa” as a terrorist organization. Critics point out that Antifa is not a centralized group but a diffuse ideology/movement, so legal implications are murky. 
2. Targeting “hate speech”
Attorney General Pam Bondi has said the administration will “absolutely target” people who use what she deems “hate speech,” especially in the wake of Kirk’s death. 
3. Punishing or investigating people (including foreigners) for praising or rationalizing Kirk’s death
U.S. officials have signalled intent to take action (even consular/immigration/visa consequences) for foreigners who “make light of” or praise the killing. 
4. Firings and social/political pressure
People — including public employees, journalists, teachers — are losing jobs or facing major backlash over social media comments about the killing, including some that are critical of Kirk’s politics. Some employers are reacting quickly to public pressure. 
5. Blaming broad “radical left” or network claims
The administration is framing the issue not just as one act of violence, but as linked to wider left-wing extremism. They are talking about investigating NGO networks, funding sources, etc.