Why Does Anyone Listen to the GOP on Deficit Reduction?

The chart above puts into visual presentation what the failed policies of the Republican Party have done to the nation's budget deficit situation. The obvious question based on the chart is that of why anyone who's not insane listen to/believe those who caused the problem as supposed architects of a solution? Particularly when tax cuts for the wealthy - which the GOP holds sacrosanct - are the biggest single cause of the problem.