You couldn't make that argument in a million years. Not if you employ the rules of logic.
First, Paul proposes government cuts that amout to about $700 billion per year. That alone would send the economy spiraling back into recession, which generally hits the poor and middle class the hardest.
Second, Paul would gut safety net programs, turning Medicaid into a block grant. Again, that would devastate poor and newly poor (the former middle class). He would allow people to opt out of Social Security and Medicare, which would be the death knell of those programs for future generations.
Third, Paul would drastically cut corporate taxes, and eliminate taxes on dividends and capital gains, all of which benefit the wealthy, and the savings would have to come out of the asses of the poor and middle class. In short, huge tax cuts that only benefit the very wealthy.
Of course we can't ignore the loss of services from all those agencies Paul would eliminate. No more department of education means lower quality public schools, which primarily benefit the poor and middle class. No more EPA means worse pollution, which generally impacts the poor and middle class more than the rich (who can simply move to a less polluted environment), etc.
If you're a middle class person, voting for Ron Paul is like voting for someone who will immediately turn around and kick you repeatedly in the nuts.