Short answer --- Survival. They knew that and independent slave republic with a 1000 mile border would not likely remain within those borders for long. Slavery could only remain a profitable endevour if there were ample territory to expand in order to absorb the rapidly growing population of slaves and to replenish the worn-out soil that resulted from intensive cash-crop agriculture. The slave economy was similar to a Ponzi scheme --- it could flourish only with every increasing rates of input in the form of new lands.
OTOH, the question that the south has to answer is why did they want to remain slavers at all costs.
See the above.