cef, i have to humbly disagree. bangladeshis almost always "prefer" indians to pakistanis. prefer is a bad wod choice, maybe have more affinity. there are some very solid reasons for that, which are not political in nature.
typical indian expat communities have quite a few people from west bengal who speak the same language. then their dress, their food, customs etc closely match that of the people of eastern india than pakistan. lastly unlike pakistan, which after partition consciously tried to remove every trace of "hindu culture" (whatever it means, i mean very silly things were done. for e.g. i am very very interested in classical music and i can tell you that names of lots of raagas were changed. so raag shiv kalyan was changed to shab kalyan), bangladesh never followed this business and as a result many people their have very good idea about the customs that their hindu neighbours follow.
we people of bengal on both sides of the border have many shared heros including kazi nazrul islam, rabindranath tagore, satyajit ray, ritwik ghatak, ustad allaudin khan etc.