Welcome Kefalo -
Kit is right. The Collis gastroplasty, in which part of the stomach is stapled into a tube to make a longer esophagus, is only for unusual cases.
The best thoracic surgeons go up into the mediastinum and cut loose the attachments to the esophagus to get it to hang down low enough, past the diaphragm and into the abdomen. The information you have been reading may be old. There's an awful lot of outdated info on the 'net. Experienced, top surgeons should have at least 94% positive results even with old people with Nissen these days.
Here's a long article by some very good surgeons that clearly explains, with pictures and graphics, the different procedures:
It's not super-current, but the procedures are still in practice. It's worth a bookmark!