I don't necessarily disagree with what you have written. Just want to add that hatred of Hindus and Jews is not some special version of Islam that they get they get access to in more religiously free societies.
They very textbooks in Pakistan are filled with explicit bigotry towards all non-believers but especially the Hanood (polytheist Hindus) and Yahood (Jews). This is well studied and documented. The very motto of Pakistan Army (which is the all powerful organization in Pakistan, as I am sure you are aware) calls for "Jihad in service of Allah", and no they are not talking about spiritual struggle.
So it would be more accurate to say that that,in free and open societies like Australia, UK and US, these nutjobs get an opportunity to act on their brainwashing because they have easy access to people they have been brainwashed to hate since as you correctly note, they have all but eliminated all other minorities in their own country.