If the official government policy isn't working, wouldn't it be more constructive to look at the root problems of the policy, and debate about that? It's not an easy position to be, sure, but I think that trying to sidestep that entirely and directly going on the offense on a large community to try and "deal with the problem" will only make things worse. It pretty much always does.
What you're facing is a culture clash. People already feel like it's "us vs them" on both sides. Escalating this into actual enforcement targeting seems like a really terrible idea because the impact it will have on society at large is definitely going to be negative. Non-muslims who support this will get more suspicious, and more justified when the "numbers come in" from selective targeting enforcement. Muslims who are radicalized will dig in and feel justified in their holy war because they see themselves being directly attacked. Muslims who are just trying to live a normal life will be inconvenienced by the extra attention their community is getting, and might be wrongly targeted due to incompetence or actual racism at the enforcement level. In the end, everyone grows further apart, and the problem gets worse, not better.
I don't claim to know much about the exact problems the UK is facing with this issue, or the history of legislation which led to the growing problem, but I do know that certain roads are better left untraveled, for the sake of the future.