To do this, we need the support of Congress. Back in 2013, Andy Barr (US House Rep - Kentucky) proposed a bill H.R. 2335 to put Lady Liberty back on circulating coins.
The interesting thing is that with as much desire as there seems to be for this, whenever I bring this up, not a single person mentions this bill, support of it, or writing to their Congressmen and Congresswomen. If not action is taken, no desired result should be expected
Here's the bill: https://www.congress.gov/bill/113th-congress/house-bill/2535/text
I wonder when I'll run into someone who has told their representatives to support this bill!