I don't know how old you are, but I am going to guess you were (at best) a child when the initial wave of Indian and Pakistani corner shops opened in the late 70s/early 80s. I remember the same 'fears' being expressed. I also remember people being absolutely delighted they could get a pint of milk or loaf of bread at 6pm on a Sunday night. I feel sure that most people are not over-saturated/suffering in 'Polski skelp' overtakes.
In order to promote 'community' and 'shared culture and values', I think there was to be some sign of warmth and welcoming. There certainly used to be, and it has also always been the case that facist agitators find ways to squeeze these situations and plant fears and anxieties. This in turn makes some communities feel less comfortable integrating and absorbing their surroundings fully. It is a massive problem IMO. Fundamentallly, I think people living in a country should absolutely adhere to it's ways and try to absorb what it is about, and I recognise that if people are immediately judged upon arrival, then their own fears and insecurities could make them less comfortable in choosing to engage outside their own communities. I think we're really speaking about majority realities versus minority truths. The majority of immigrants greatly enrich society and actively engage in it; are there 'bad 'uns'? Absolutely, sadly this will be the case in any walk of life. The question is whether society wants to believe that the majority of ordinary people share much more in common than they don't have.
We appear to be at a huge crossroads between divide & conquer tactics of fear and seperation working for the benefit of a few, or society finding it's way again and getting back on course.