- Depends on their beliefs
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A more core level of your question is that I believe it is harmful and wrong for your country to import people who clash with the host country's culture and beliefs.
It is a crime against your country to bring division, hostile, counter entities into your community.
Not if it breaks the law, no.
Example - if somebody wanted to restore the Aztec religion, complete with sadistic human sacrifices, should that be allowed? No, under no circumstances.