I think it would. I'm starting to get that familiar 'realities are diverging' feeling reading some of the comments on this post.
Other than the options you have suggested to deal with the regressive nature of consumption tax (which seem sensible to me), I thought the Republican tax proposal is essentially to: lower tax on returns to capital (by reducing the corporate tax rate) and institute a value-add consumption tax (in the form of a cash-flow tax).