That's all you've got? You feel free to call a man irrational, but provide nothing to support that position. Dare I say that comes across as belligerent ad hominem.
"I'm glad that you're accepting responsibility. I think ultimately with your leaving that you accept the culpability for the worst tragedy since 9/11. And I really mean that. Had I been president and found you did not read the cables from Benghazi and from Ambassador Stevens, I would have relieved you of your post. I think it's inexcusable."
- his obsession with drastically cutting social programs at a time when so many Americans need them
- his obsession with balancing the budget when interest rates are so low and the so many things point to the problem being a lack of spending / almost nothing pointing to the deficit being a problem
- his backwards social views
I forget how easy mainstream American media goes on him. He makes some interesting points but overall he seems very much like a dogmatic and unimaginative libertarian conservative.
Your use of these as evidence of Paul's irrationality does not seem rational. Instead, they appear as a complaint that he doesn't share the same values as you; and by extension he must be irrational since your values obviously must be rationally chosen.