Unfortunately for DeMint, not too many people think the permanent abolishment of the estate tax is that hot of an idea.
Namely, a whole bunch of Democrats (minus Lincoln and Nelson of Neb) led by Majority Leader Harry Reid. The amendment failed 39-59 in a vote yesterday but no worries lovers of tax-free death! A few races in this fall's election could kick around the this particular political pigskin, including Reid's in Nevada where Tea Party darling Sharron Angle supports the permanent repeal.
It's worth noting that J DeM considered the abolishment of the tax not to be a 'tax cut' but a "continuation of current policy since Congress let the tax lapse this year." In that context, it sounds like Senator DeMint is embracing the fact that Congress screwed the pooch on the whole damn thing and figured that continuing the impotence of Congress was easier than having the same debate over and over.
Estate Tax Vote: An Issue in Fall Vote? [Washington Wire/WSJ]
Senate rejects permanent estate tax death [Don't Mess With Taxes]
Also see: Senate Rejects Measure to Permanently Abolish Estate Tax [TaxProf]