In my personal experience that would be an aberration from the norm. I am sure there are more like your teacher but the majority of them have a negative view of Pakistan.
Yup, I have Indian Muslims are Indians, just like Pakistani Hindus are Paksitani. I never understood why someone would think that an Indian Muslim would be sympathetic to Pakistan.
I am planning on visiting Pakistan at the beginning of June. I hope there are no travel restrictions. I called the consulate to see if there were any special requirements, they told me just a passport with a visa.