I am scared about the harsh punishments in islam. They are carried out to people who sin so I pray you help me gain back some ease.

Its especially in relation to homosexuals. I have homosexual family and other aquaintances. They aren't evil people SO I say hate the sin, not the sinner. But if this was an Islamic state, what would happen to them?

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I understand your concerns
Firstly such sins must be first verified in an Islamic state. Meaning just because someone is homosexual doesn’t mean they get punished.
They must either confess on 4 different occasions or 4 different people witness them in the act.

Islamic criminal law is mainly a deterrent. Yes homosexuality is like other major sins, like adultary.

In non Islamic government no punishment must ever be inflicted

We treat people as human beings. We all make mistakes and err. We need help sometimes