Islam don't have any issues with capitalism
But Islam don't allow corporate monopoly.
Islam is not against getting rich.
Islam is against only rich getting richer and poor getting poorer.
Discussion
It's not necessarily an equalizer. The rich can get richer or the poor can get poorer.
I'd rather say, Muslims have other incentives. Like, when they build a waqf, it's for the akhira (and hasana jariya). When they follow the rules (including the Sunnah) of zakat, their economic behaviour becomes a means for both, a better akhira and dunya. Because even the rich profit from an environment where the most needy are taken care of. But it doesn't necessarily make them less rich.
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The believer's shade on the Day of Resurrection will be their charity
(Hadith, Tirmidhi).