Exactly.

To expand on that, having poor people means they do not contribute as much as they are capable of, and our personal level of wealth(regardless of where you are on the scale) is affected by the distribution of wealth in the wider society.

You may be Bill Gates, but that counts for nothing if you cannot hire a decent programmer to work for you. A fair distribution of wealth ensures that the masses are able to reach their potential work contribution, and so Mr Bossman has less problems hiring skilled workers to increase his wealth.

In short, raising the poor makes us all wealthier. It's far from a zero-sum game. If the homeless gets a proper job, it will result in both you and the homeless guy getting more money.

Henry Ford knew this well. Was he "jealous of other peoples wealth and wanted to steal their money" as well?