Currently, yes. There's no reason why we couldn't have wealth taxes or land-value taxes rather than transaction taxes, of course.
It's also offensive that the estate tax is punitive: I believe that current tax is 40% on everything over a certain amount. That is, IMHO, insane: the State is declaring that it has a 40% stake in all of someone's financial success, despite having taxed every penny of that when it was earned in the first place.
Finally, you're missing the point: we tax money at transactions because it's at those transactions that value is created: I pay you $25 for dinner, and I get $25+x value from that meal, while you pay $25-y to create it, leaving the economy $x+y better. I think it's reasonable to attempt to capture some of the value of those transactions to fund the government whose security & stability make them possible (e.g. your restaurant need not hire guards, because we have police; I need not pay for a road from my house to your restaurant, because one has been provided, &c.). But there's no value created at death: it's just a transfer, and to tax it (particularly at punitive rates) just seems like grasping greed.
> I have no problem paying my share of the national bills; I'd be ashamed to try to shift my share onto others.
I really hate this tone from supporters of high taxation, for two reasons: first, at least this proponent of changing our tax system doesn't object to paying his share; second, I believe many tax supporters want to raise taxes on somebody else.