Social Security is so popular that either party trying to cut benefits will be voted out at the next election, especially if the other party runs on restoring it. So instead of cutting benefits to those currently receiving it, instead there will be a call to increase the retirement age. This is already happening in Denmark where the retirement age will be 67 by 2022 and after 2030 could be increased 1 year every 5 years.
Raising the retirement age is probably the only way to keep things going. People used to retire in their 60s and died in their 70s. Now they live up to 90 and more. Simple math tells us that this is not sustainable.