Err...No. Quite the opposite.
Like almost all Victorian and Edwardian era British, Churchill was to a significant degree obsessed with islam, and their supposed cultural, spiritual and martial superiority.
There was quite a number of rich, well educated British who converted to islam or loyally served umma interests in some capacity. Harry St John Philby aka Sheikh Abdullah, father of the famous Soviet spy Kim Philby was one of the more prominent ones, enthusiastically embracing Saudi values, including the one about taking female slaves.
Also, the commander of the Jordanian Arab Legion, Sir John Glubb aka Glubb Pasha who commanded the tentative push into the West Bank in 1948 war had a son who converted to islam and was a prominent Palestinian activist.
TE Lawrence and other Arab apologists are too numerous to mention...
The tragic legacy of this Victorian British Islamophilia is still visible in Sudan/South Sudan and Nigeria - wherever possible the British colonial rule blatantly favored and relied on muslim "traditional chiefs" over "uppity" local Christians. In Nigeria the British backed muslim Hausa and Furlani at the expense of Christian Igbos.