Are you assuming we already have enough resources to solve poverty? Isn't the actual issue that even with perfectly equal distribution we don't have enough resources for every body?
If the pie isn't big enough, why is the communist's focus always on how to divide the pie, rather than growing the pie? Do communists have anything to add at all when it comes to increasing productivity so we can all have more?
Wasn't lack of productivity exactly what killed communism? Even China didn't wake up until it opened its markets.
Inequality isn't increasing because poor people are doing worse. Poor people are doing better. Poor people's conditions are improving faster than they ever have. It's true that the richest people's wealth grew even faster than that, therefore increasing inequality.
But if you really care about the wellbeing of the poor, then you wouldn't distracted by inequality when the conditions are improving. You'd interrupt the most successful ever for the worst system ever, driven by jealousy, bitterness, and moral indignation.