The "role model" of Hatshepsut in the 6th Dynasty was clearly queen/king Nitocris (Neith-iquert). Hatshepsut was married to the Judah-figure Thutmose II. The Judah-figure of the 6th Dynasty , Pepi II, had queens named Neith A and Ankhenespepy III, who may have been one and the same with Nitocris.
Both the 6th Dynasty and the 18th Dynasty had a king named Teti as their nominal founding father. http://www.domainofman.com/forum/index.cgi?read=861
Teti of the 6th Dynasty was eclipsed by Pepi and his sons Pepi II and Nemtyemsaf. Teti of the 18th Dynasty was pushed aside in favor of Tao II/Apophis II and Thutmose sons of Tao/Apophis. The name Nemtyemsaf, "(the god) Nemty is my protector" parallels Thutmose. Nemty ("traveler/wanderer") may have originally been an epithet of Thoth.
Ankhenespepy III was the daugther of Nemtyemsaf, as Hatshepsut was the daughter and intensely devoted successor of Thutmose I.
Other parallels between the 6th Dynasty and 18th Dynasty, especially with the tragic end of the 6th Dynasty and the Amarna Period, were explored earlier on this site:http://www.domainofman.com/forum/index.cgi?read=866http://www.domainofman.com/forum/index.cgi?read=2221http://www.domainofman.com/forum/index.cgi?read=2229http://www.domainofman.com/forum/index.cgi?read=13479
Some additional insight can be gained from later queens named Nitocris at the end of the dynastic period in Egypt when leading queens were called Ankhenes-(father), "she lives for her father the king", a name echoed even later by that of Cleopatra in the Ptolemaic Era:http://www.domainofman.com/forum/index.cgi?read=10483
I don't know if there is any evidence that the 6th Dynasty construction at the Temple of Satet can be attributed to Neith A/Ankhenespepy III/Nitocris. However, it seems quite probable that this was the case, and that her work there was quickly replaced by that of a male ruler (namely Montuhotep II), even as Hatshepsut's construction at the Temple of Satet was claimed by the next pharaoh, Thutmose III (the equivalent of Montuhotep II in the 18th Dynasty).
In conclusion, there was definitely an emulation by the 15th/17th/18th Dynasty pharoahs of the earlier 6th/11th/12th Dynasty pharaohs. Every indication is that the 6th Dynasty and 11th Dynasties were contemporary and followed immediately by the 12th Dynasty even as the 15th and 17th Dynasties were contemparary and followed directly by the 18th Dynasty.