It is not Islamically permissible to consume the commercially available (Non-Dhabiha) or Kosher meat.
Problems with commercially available western supermarket meat:
Many citizens of most Western countries no longer truly believe or practise any religion, let alone Christianity. They may be “Christian” by name but in reality many people are Atheists or simply can’t be bothered. Church attendances have been steadily declining. It is foolish to assume that all Western citizens are “Christians”, today.
Moreover, it is also foolish to assume that everybody living in the West is a Jew or Christian; there are plenty of people of other faiths and/or atheists and agnostics in the west.
The ruling of meat slaughtered by “Christians by name” has been recorded from Sayyidina Ali (RA) as Imam Ibnul Hajr Al-Asqalani (RA) records in Fathul Bari (commentary of Saheeh Bukhari)
Rather an authentic report has come from Ali attesting that he prohibited what was slaughtered by some Christian Arabs. It was reported by Imam Shafa’e (RA) and Abd al-Razzaaq with a rigorously authentic chain of narration from Muhammad ibn Seereen from ‘Abeedah al-Salmaani from Ali that he said: “Don’t eat what the Christians of Banu Taghlib have slaughtered because they have not retained of their religion anything but drinking wine.”
In most Western democracies it is against the law to discriminate on religious grounds and to streamline the process of employment most employers do not ask for the religion of the employee. In other words if there was a vacancy for an Engineer then the qualifications/skills/experience of a potential employee will be checked and verified and the religious affiliations are deemed to be irrelevant. Similarly for a slaughterer the necessary qualifications/skills/experience and certifications will be checked and religion will be ignored.
A qualified slaughterer can be a Muslim, Jew, Christian, Atheist, Buddhist and his OR her religion is neither disclosed nor tracked with the meat. It cannot be guaranteed that the slaughterer is indeed a Muslim or a Jew or a Christian.
Just because an animal is “Halal” to consume isn’t sufficient and the laughter being a Muslim or from Ahlul-Kitaab isn’t sufficient. Its method of killing must also conform to Islamic Shariah.
The two verses in Surah Al-Maidah (The Table spread, Chapter 5) must be understood together as understood by the Scholars of Islam
[5:3] Prohibited for you are: carrion, blood, the flesh of swine, and those upon which (a name) other than that of Allah has been invoked (at the time of slaughter), animal killed by strangulation, or killed by a blow, or by a fall, or by goring, or that which is eaten by a beast unless you have properly slaughtered it; and that which has been slaughtered before the idols, and that you determine shares through the arrows. (All of) this is sin…
[5:5] This day, good things have been made lawful for you. The food of the people of the Book is lawful for you...
Food of the people of the Book becomes a problematic concept as soon as the conditional clause of “إِلَّا مَا ذَكَّيْتُمْ (unless you have properly slaughtered)” is ignored and this matter has been thoroughly discussed previously.
We know of no western country which has legislation requiring the slaughter of animals according to Islamic Shariah, in cause of chicken a partial cut is made by needle like insertions (after stunning) and in case of cattle a cut is made (which may partially cut a blood vessel or may severe the wind pipe) or the neck is cleanly cut off! All forms of slaughters currently employed by Non-Muslims are problematic in one way or another.