By the time these mountains of ice enter Baffin Bay they have seen nearly 3,000 years pass. Therefore, deeper currents have greater surface area to push against compared to winds or wind generated surface currents. This is why it is not uncommon to see icebergs heading directly into strong winds. In order for an iceberg to reach the North Atlantic the currents typically take it from Baffin Bay through the Davis Strait and Labrador Sea. This is a long trip and most icebergs never make it.
Most icebergs melt well before entering the Atlantic Ocean.
When an iceberg does happen to reach the Atlantic its long and traveled life quickly comes to an end melting rapidly in the warm waters. At most it will take two months to melt unlike icebergs stuck in parts of Baffin Bay where it can take upwards of four years for a berg to melt.