The answers are already partially in the article itself, if you read Prof. Esmail's responses, and if I prefer to see a female doctor, I'm not forced to see a man - and I'm not a Muslim. As for medical needs during the fasting month of Ramadan, as any Muslim will know, exemptions are made for the very young, the elderly, the pregnant, and the SICK. So that's another non-issue.
While I know that some hospitals used to provide small chapel areas for Christian patients, I'm not sure if that's done now, but, if it is, I don't see the problem with providing a small ante-room for Muslim prayer and ablution, if there's a big enough ratio of Muslim patients (say, in a highly Muslim-populated area, as there are in some parts of the Midlands, and the North) to justify its availability.
The issue of drugs being alcohol or pig-based raise the same concerns for some Muslims as any cow-based ones might for some Hindu patients. If their GPs can source drugs that don't contain the offending ingredients, then surely they can have those prescribed instead of the others? They're probably already using a Muslim GP, who would have been prescribing appropriately anyway.
There are also enough special dietary requirements catered for by NHS hospitals that it's perfectly possible to eat adequately without being 'forced' to consume forbidden products. So the whole thing looks like a non-starter to me.