The true malice is what goes on in these countries, where apostates can be murdered, simply for converting from Islam. And you want to import that kind of malice wholesale.
Syne perhaps you need to have a look at the process of assimilation when migrants land, make their home , and have kids.
You seem so offended by cultures and religions that practice so called abhorrent acts (according to your standard) but you offer no solution except isolation and confrontation.
Normally in an assimilation migrant program those that come into a culture with contrary views, rarely speak the language and live out the rest of their lives as guests of a host nation. However their children, the first generation offspring grow up not as guests, but as cultural members, learning the language and adapting better to cultural mores and laws. But even this is still not the end of it. It normally takes the next generation , that is to say the kids of the kids (grandkids of the original migrant) before issues such as you mention "apostasy" etc get resolved.
If one bothers to do the observation you can find that in most cases for example the use of the Hijab by Muslim women disappears by the 2nd generation and in men the need to pray to Mecca generally disappears about the 3rd generation.
Basically you can transform a religious/racial divide by inviting the refugee to live among you and time, compassion and need does the rest.
Segregation and apartheid prevents change from occurring.
Assimilation generally only works over generations, 60-70 years for a family unit.
The more refugees taken in the more persons have to assimilate with their host countries culture. Those refugees invariably have families back home.
So it is obvious that if we accept refugees we are in fact transforming their place of origin by default. ( a cultural/religious conflict fought silently and passively in the background over many generations.)
The Syrian refugee crisis will inevitably lead to a better, more modern secular Syria but only if the refugees are taken in and allowed to assimilate over 2-3 generations.
By accepting refugees as the Statue of Liberty promotes the USA transforms the world...