You point me to a 'last thursday sect' and you're pointing at a group of irrational people. Sorry, but it sounds like something scientists made up to attempt to make ID look bad. There is no logic behind it whatsoever. And anyone who claims there is no logic behind creation is irrational. Maybe it can't be proved but it can't be disproved either. No matter how convinced one is that there is no God, there will always remain the chance that they're wrong.
How is Last Thursdayism any more irrational than any other Young Earth sect? Several independent dating mechanisms show the Earth to be around 4,5000,000,000 years old. Assuming 4 days or 4000 years still miss the mark by some orders of magnitude.