from what i know indian bengalis are comfortable with bangals. no problem. bengalis are not as rabid and mentally unstable as people in the north-west.
India had a lot of problems with Pakistan than with Bangladesh. Major things were Border disputes like Sir Creek, dispute on Junagadh, disputes of Kashmir etc. That's why India and Pakistan had 3-4 wars till date.
But India and Bangladesh never had that many issues if compared. In fact India jointly fought with BD against Pak during 1971 war. That's one of the reason why till date Ind-BD borders were very loosely guarded, which has been made strict recently due to illegal immigration.Diplomatic relations of India and BD are much better. This is one reason, getting a Bangladeshi visa is much easier for an Indian than getting a Pakistani visa and vice versa. In fact Sheikh Hasinas son did all his schooling and college from India.
Other than that there are cultural similarities, same Language, similarity in food and festivals.
I feel Pakistan (Islamic Republic) is much more radical than Bangladesh (People's Republic). Hindu Muslim ratio in the respective countries says so.
Pakistan - Muslim 97%; Hindu 1.6%
Bangladesh - Muslim 89.5%; Hindu 9.6%
Though the number of Hindus have decreased much these days in BD due to regular migrations of Hindus to India. Many Hindus still migrate to India from Bangladesh even after 30-40 years of partition. This scenario is not at all common in the West as the rules are stricter.
Many of my Bengali friends from India have been to Bangladesh to visit their ancestral home. My cousins husband is a Businessman in Dhaka, though his home is in Kolkata. Many people from Bangladesh came to India (Kolkata) during their marriage.
My friends parents have their Business in Dhaka and they have temporarily moved there, though my friend and his wife stays in India.
Number of Bangladeshis are staying in Kolkata in fact in other parts of India as well for their Businesses.Number of people from BD come to Kolkata for their Medical treatment. I know this because many patients from BD come to our Hospital in Kolkata. My brother in fact has a number of Bangladeshi patients who are friends with him now and they come with so many gifts.
One of my friend is getting married this year and his would be wife is from Dhaka.
These examples doesn't mean I support unification or something like that stuff. Explicitly mentioning as some people might deduce that. But it's really good to have neighbors with so many similarities.It'll even be better if relationships between India and Bangladesh grows further.