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Nothing. Islam is the largest religion in the world. The extremists fit into a small minority. Therefore, it would be irrational to suggest in any way that a mosque is a symbol of terrorism or a threat to the USA.
Fox news recently did an interview the Republican Senator of Texas, John Cornyn. When asked about this topic, Cornyn said, "Whether you're connected with people, whether you're listening or whether you're lecturing to them, I think this is sort of the dichotomy that people sense, that they're being lectured to, not listened to, and I think that's the reason why a lot of people are very upset with Washington," Cornyn said.
As you can see, he is playing the "Americans are being condescended to by the elite Ivy League liberal grads" card. This is a recurring theme and tasteless strategy used by Republicans whose constituencies consists of back-woods hicks and low IQ hillbillies. That's who buys the rhetoric of repubs such Cornyn, unlike us educated elitist northern folk. Now I understand that as a libertarian, I agree more with republicans than I do democrats. However, many of the tactics I see used by republicans in their arguments just seem phony and calculated. The "common sense" approach to everything in politics is getting tiring to say the least.
One of the common arguments against the building of the mosque near ground zero is that it insensitive to those who died on 9-11. I do not understand this one bit. By doing research, one can easily find out that Muslims too perished in the 9-11 attacks, along with Christians and many other religious people. Whether or not building the mosque is in "bad taste" is completely subjective. What is objective is the law and the constitution, which both fall on the side of those who wish to build the mosque.
These arguments for government intervention in a religious freedom issue mainly plays on the emotions of Americans who are sensitive to what happened in the atttacks on the Twin Towers. For those of who are mature and intelligent, labeling any mosque as a terrorist base/breeding ground is illogical upon any fair analysis. But not for many flag-waving lunatics, apparently.
Ironically, it seems that the Americans who are the most patriotic are the ones that you are most embarrassed to share the same nationality with.