This looks relevant:

« In June, 2004, the Supreme Court ruled that Guantánamo detainees could challenge the grounds for their detention. It became fashionable for high-profile corporate-law firms to represent Guantánamo clients, pro bono, but many detainees rejected representation, because they thought it was a ploy to lend legitimacy to an unjust detention. »

Where did you hear they don't want to face civilian trial and even if true where did you hear they could refuse to have a trial and also where did you hear they would be tried in new york?

I believe it is the US Gov who doesn't want them to go to trial due to lack of evidence / evidence from torture is not usable for all that has gone on to come out in a more public forum

Sorry if that sounds cynic, but maybe not all of them have full confidence in the US justice system?

well unfortunately the US justice system is the one they are going to have to deal with. you don't really get a preference in such things.

It is my understanding that almost the exact opposite of this is true.

Nah because if they did that it would give them rights.