The short answer: Yes, self-identified Jews have, on average, higher household incomes in the USA than other religious groups, with Hindus only slightly behind. Drawing strong conclusions from this correlation is dangerous.
(Watch out! This answer includes a tiny bit of misdirection. The question was about wealth, but the answer is about income because it was the best I could find. Wealth and income aren't exactly the same, but they are pretty tightly related, so I think the answer should still be acceptable.)
The Pew Forum on Religion and Public Life produce the U.S. Religious Landscape Survey.
They have a chart showing the results of income distributions.
(This chart has been turned into an infographic which I find doesn't help very much, but you may prefer it.)
From this chart, you can see that Jews have the highest proportion of household income of greater than $US100,000. Similarly, they are the second-least-likely to have household incomes of less than $US30,000, after Hindus.
Antisemitic sites, such as Stormfront, use data like this to conclude that there is a Jewish conspiracy. This is not a safe assumption, due to a large number of potential confounding factors (ignoring the innate difficulty/impossibility of having a conspiracy of that size.)
The relatively low socioeconomic position of black Americans is likely a large confounding factor. Black Americans account for only roughly 3% of American Jewish population compared to roughly 13% of the general population (sources: (http://en.wikipedia.org/wiki/Alliance_of_Black_Jews), , ). Note the lowest incomes are associated with "Historically Black Churches".
Income is correlated with age. If American Jews are demographically aged closer to their peak earning potential than the general population, it may sway the results.
Immigration status is likely to affect income. If American Jews are now more likely to be settled in the country longer ago than American Muslims, on average, it may make their relative income higher.
Household size affects household income. If American Jews are more likely to live in households with a larger number of income earners, it may increase their apparent income without actually increasing the average individual income. If the women are more likely to participate in the workforce, that would also increase the figures.
Culture is likely to affect income. If American Jews are more likely to be focussed on academic achievement than other cultures, it may increase their income.
My goal here is not to prove that any of these potential confounding factors are true or relevant, just to give context to the bare facts before they are used to make dangerous conclusions about conspiracies.