Your site is wrong to say that it is the "largest stone ever quarried by man".
The Baalbek site in Lebanon includes 3 stones weighing nearly 800 tons apiece, and a larger stone is abandoned in the quarry, nearby. These were placed there by the Romans - and Herod as an "ally" of Rome, would also have had access to Roman stone moving technology.
http://www.ramtops.co.uk/baalbek.html
Tourist sites are not always reliable - and religioss apologetic sites, talking about sites or objects of religiosu significance (as your site is) are even less trustworthy..