I don't know how yet, but I strongly suspect that more individuals will pay more taxes under this plan than the other way around. I don't think the bracket and rate adjustments will, as a whole, offset the removal of deductions and credits. I think the motivation in this plan is to make money back to offset the corporate rate reductions without having to shrink the government. I think that they're trying to make everything as revenue neutral as possible, but it will fail. And people are going to be super pissed off.
These are just my ignorant opinions. Maybe I'm just suffering from SOTS (screwed over taxpayer syndrome).