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First Amendment: "Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances."
If this is allowed, the worst case scenario for the Republican party will come to pass - a scene of thousands of people peacefully protesting in the streets, blocking traffic, and making it impossible for the convention to continue.
As the protests against the WTO in Seattle in 1999 showed, images of stormtroopers in riot gear attacking seated peaceful demonstrators don't play well with the public: (linked)
http://spiiderweb.blogspot.com/2008/02/hypocrisy.html
In order to do that, you need some kind of justification. See for example, how the Burmese military does it:
http://www.timesonline.co.uk/tol/news/world/asia/article2525171.ece
Regardless, Gustav is currently digging into the warm current in the Gulf of Mexico, and heading straight for Louisiana, to make landfall as a cat 4 or 5 hurricane, according to current estimates. Nature will likely be interfering with everyone's political scheming, in other words. Not for the last time, either.