Well, he seems to be the Libertarian poster boy to be honest.
Personally I have quite a few issues about him that I don't like.
I'll just quote from the wiki article, as I don't feel like being creative and rewording the things I don't like.
He regularly votes against almost all proposals for government spending, initiatives, or taxes.

You can''t have a working government without taxes.
Though that's not to say I am not against alot of spending.
Congressman Paul advocates a strict non-interventionist foreign policy that avoids entangling alliances.

Such isolationist views are primitive and will only have negative effects
on our country, we live in a globalized world, nations, especiially like
the U.S. can no longer do that and expect to prosper, let alone exist for
a great deal of time further.
He opposes political organizations that override U.S. sovereignty such as the International Criminal Court, United Nations, and the Security and
Prosperity Partnership of North America. He thus supports withdrawal of funds and the end of participation in such organizations.

Well, considering none of those take away from sovereignty in any way,
it just goes to further show his isolationist leaning views, which I already
talked about how that is bad.
Paul opposes virtually all federal interference with the market process.

The market, and really corporations can not be trusted to be fair, apart
from that such things create a distinct upper and lower class, of which
we have not seen since the beginning of the new deal.
He also endorses defederalization of the healthcare system.

Private healthcare systems are completely outrageous and dangerous,
all people have the right to be healthy (if they want to be), regardless
of if they have the money or not.
Paul called for a repeal of the 17th amendment,[17] the same that allows for direct election of U.S. Senators.

The people of this country vote for there representatives, it is a slap
in the face to the tenants of democracy to further turn it into a
representative mess.
In 2004, he spoke out against efforts to abolish the Electoral College,

In essence he is against the popular vote being the deciding factor
of who the president is.
Yet another slap to the face of democracy.
In a 2004 speech before Congress he expressed support for the Federal Defense of Marriage Act and expressed his support for the Marriage Protection
Act as an alternative to the FMA.

He supports bills that are unconstiutional.
All states have to recognize marriage licenses from other states,
and other such articles as well.
He also voted against rewarding Mother Teresa and Rosa Prks the
congressional medal of honour, apparently on the grounds that he
did'nt think it was right for the government to waste the resources
on making them.
Needless to say, he will never recieve my vote.
[edit on 3/30/2007 by iori_komei]