If Obama thinks he can pivot away from the failures of Obamacare towards the cause of relieving "income inequality," he's going to find even greater failures there already on the part of his administration.
The vast majority of gains in wealth have gone to the top earners, making income inequality increase drastically under Obama. In fact, of the last three presidents, the income gap didn't change overall during the Bush years, increased second most during Clinton's time, and has increased the most with only 5 years under Obama's belt.
Obama himself has admitted this before questioning by George Stephanopoulos, where he amazingly tried to blame Bush for the 95% of income growth during his own "recovery" going to the top 1%.
As we reported last year when Obama was loudly denouncing the nation's "income inequality":
President Obama... is presiding under epic Wall Street earnings (they crashed under Bush, remember?), deteriorating income levels for the middle class, an increasingly part-time nation partly fueled by the looming employer mandate of Obamacare, and long-term unemployment so persistent that millions of people are dropping off the labor force grid (that would be why the official unemployment rate is slowly going down).
And the Obamanomics failure extends to falling income across the board for the average American family. During the "worst recession since the Great Depression," the real (inflation-adjusted) median annual household income fell by 1.8%, but fell by an incredible 4.4% during Obama's "recovery." That comes to each family making $2,400 less per year during Obama's presidency.