There will be no war between BD & Burma. There was some tension back in 08 when Myanmar were doing offshore exploration in disputed waters of BOB. But it was resolved peacefully with Chinese help and Myanmar backed off. Now that we have won the ITLOS case and the maritime boundary has been demarcated between BD & Myanmar, there is very little chance of any future conflict over territorial waters.
As for the Rohingyas, BD government position is that they are Burmese citizens, and Burma should take back all the 4,00,000 refugees on BD soil. BD will continue to engage Burma bilaterally, using diplomatic channels to repatriate the refugees. But going to war for the sake of Rohingyas is absurd & unrealistic. There is no political will or appetite for it in BD.