I disagree, I don't think Dewsbury town centre is "dead". It has several chain stores ( Boots, WH Smiths, Holland & Barrett, Argos, Wilko, etc), and a thriving market. Yes there are a lot of charity shops and bookies, but that is the same in lots of towns. There are even some longtime independent shops that have managed to survive the recession. The town is reasonably busy even on non-market days.
Dewsbury and neighboring Batley have a ridiculous amount of supermarkets concentrated in a very small area. Off the top of my head I can think of six between them, and there are many smaller stores as well. This has contributed to the slow decline of the town centre (it has been the same in many, many other places), but there is still life there. There is also still money in the area - plenty of people are able to afford to buy the many beautiful Victorian era houses and villas. It's actually a nice place to live, with lots of parks and green spaces.
I'm not the Kirklees Tourist Board, honestly! Just a resident.
Of course there is a high concentration of Muslim households in Savile Town...because people want to live close to their local mosque. That's hardly newsworthy. Do I feel unwelcome in that area? No.