The benefit of a Constitutional Court however is that it should filter out most of the unconstitutional bills trying to pass the government. I feel that right now it's way too easy for Congress/president to pass an unconstitutional bill, and then waiting anywhere from 5 to 20 years (or to never), to strike down that law, time in which a whole generation can be abused by the government (which I find unacceptable - bad laws should be struck down much sooner).
I also think special Courts are usually bad news as they tend to become biased towards their purpose. So for example a "patent Court" will become biased towards patents, a spying Court will become biased towards spying and so on. But in this case, a Constitutional Court becoming biased towards the Constitution would actually be a good thing.