Also that’s just like saying people who have schizophrenia are all violent and that’s not true as you are probably aware.

It's really not.

Diagnostic criterion for schizophrenia in the DSM-5:

A) The presence of at least two of the following five items, each present for a clinically significant portion of time during a 1-month period (or less if successfully treated), with at least one of them being items 1), 2), or 3):

1) delusions

2) hallucinations

3) disorganized speech

4) grossly disorganized or catatonic behavior, and

5) negative symptoms (e.g., decreased motivation and diminished expressiveness).

B) For a clinically significant portion of the time since the onset of the disturbance, the level of functioning in one or more major areas (e.g., work, interpersonal relations, or self-care) is markedly below the level achieved before onset; when the onset is in childhood or adolescence, the expected level of interpersonal, academic, or occupational functioning is not achieved.

C) Continuous signs of the disturbance persist for a period of at least 6 months, which must include at least 1 month of symptoms (or less if successfully treated); prodromal symptoms often precede the active phase, and residual symptoms may follow it, characterized by mild or subthreshold forms of hallucinations or delusions.

D) Schizoaffective disorder and depressive or bipolar disorder with psychotic features have been ruled out because either no major depressive, manic, or mixed episodes have occurred concurrently with the active-phase symptoms or any mood episodes that have occurred during active-phase symptoms have been present for a minority of the total duration of the active and residual periods of the illness.

E) The disturbance is not attributable to the physiological effects of a substance (e.g., a drug of abuse or a medication) or another medical condition. If there is a history of autism spectrum disorder or a communication disorder of childhood onset, the additional diagnosis of schizophrenia is made only if prominent delusions or hallucinations, in addition to the other required symptoms or schizophrenia, are also present for at least 1 month (or less if successfully treated).

What I said about schizophrenia:

Psychosis and psychopathy are completely different constructs, as psychosis is the symptom which most characteristically includes hallucinations and delusions, but can definitely occur in the same person

Diagnostic criterion for anti-social personality disorder in the DSM-5:

A.

There is a pervasive pattern of disregard for and violation of the rights of others occurring since age 15 years, as indicated by three (or more) of the following:

(1) failure to conform to social norms with respect to lawful behaviors as indicated by repeatedly performing acts that are grounds for arrest 
(2) deceitfulness, as indicated by repeated lying, use of aliases, or conning others for personal profit or pleasure 
(3) impulsivity or failure to plan ahead 
(4) irritability and aggressiveness, as indicated by repeated physical fights or assaults 
(5) reckless disregard for safety of self or others 
(6) consistent irresponsibility, as indicated by repeated failure to sustain consistent work behavior or honor financial obligations 
(7) lack of remorse, as indicated by being indifferent to or rationalizing having hurt, mistreated, or stolen from another 

B. The individual is at least age 18 years. 

C. There is evidence of Conduct Disorder with onset before age 15 years. 

D. The occurrence of antisocial behavior is not exclusively during the course of Schizophrenia or a Manic Episode.

What I said about anti-social personality disorder:

I think that frequent maliciousness, such as manipulative, deceitful, egotistical, criminal, uncaring, aggressive, and generally unmoral traits, are the core features of anti-social personality disorder. Although not all traits need to be endorsed, this kind of behavior has to rise to the level of pathology for one to get diagnosed with it.

Sociopathy is usually used to refer to either psychopathy in general, or more precisely factor 2 psychopathy, which correlates even more with anti-social personality disorder than factor 1 psychopathy. Factor 1 psychopathy is characteristic of emotional callousness and superficial charisma, while factor 2 psychopathy is characteristic of a parasitic lifestyle and aggressive impulsivity.

Notice that, while anti-social behavior has to occur outside of psychotic episodes for it to be comorbid with schizophrenia, they are not mutually exclusive. I never said anything about violence - however, I did say that people with anti-social personality disorder usually endorse malicious behavior. I never claimed that any kind of maliciousness is in any way related to schizophrenia, and therefore your analogy is nonsensical.