I like the idea of a wealth tax.
The details will be difficult: how do you assess wealth with any semblance of accuracy, especially in the face of an increased incentive to hide it? I'd love to hear anybody's clever ideas to tax wealth in a way that catches cheaters. The biggest issue is what you do with wealth held overseas.
But even if the cost of catching cheaters is many billions of dollars of enforcement apparatus, it seems worth it. Of course, you create a new problem: avoiding corruption in a large enforcement apparatus chasing after people with the resources to easily bribe them. (But this problem is not unique to wealth taxes, and I don't think bribing the IRS is actually much of a problem—people just bribe Congress.)
There's another problem: wealth taxes would probably need a constitutional amendment in the U.S. From Article I, Section 2:
"Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers..."
There's already an amendment to clarify that federal income taxes are OK. But wealth taxes will need their own amendment.
Conceptually, though, I totally agree: if the problem is unequal wealth, just redistribute the wealth directly to move toward a less catastrophe-prone distribution.