What do you mean by “struggling with the idea of being accepting and progressive of all”? Western countries have been accepting, far too accepting. The grooming gangs in the UK got away with the rapes of hundred of girls directly because people were afraid to be called racist if these men were challenged.
If you come to a country legally and you integrate and accept the social norms and the laws and customs of that country then you are more than welcome by the majority of the people. What you don’t get to do is to impose your own social norms, customs and laws on that country, and neither do your descendants. You can criticise by all means, if there are crimes being carried out against you because of your race or religion then you are right to demand that the law protects you. What you absolutely do not get to do is to change the social norms, customs and laws of that country to suit you and neither do your descendants, not under any circumstances. If you see atrocities being committed then of course you are right to challenge that, but that’s a different thing.
If you come to a country illegally and then start demanding to impose your customs and laws, that are foreign to the country that you have entered illegally, then that is invasion not migration.
If you want to live under Sharia law then pick an Islamic country, there are many very beautiful Islamic countries, and live there. You cannot have two clashing systems of law in a country, and many Sharia laws breach the human rights laws of Western countries, particularly laws and rules concerning the appearance and behaviour of females. Female genital mutilation is a crime in this country for instance, and much of Sharia law also goes against the social norms and customs of Western countries. I know Muslims who came to the West specifically to escape the restrictions that living in an Islamic country imposed, the last thing they want is for Sharia Law to be imposed on them here.
That also goes for people from the West going to Islamic countries by the way. There are caveats though, if that country isn’t a democracy and the people of that country are being oppressed by a totalitarian regime like the Taliban, then that’s a different story.