Howling:What's the connection between the Big Bads?

So, in Series 6 (Doctor Who), it was The Silence going to great lengths (maybe even causing the TARDIS to explode in Series 5 (Doctor Who) ) to prevent The Doctor from being "on the fields of Trenzalore at the fall of The Eleventh". Nevermind that it didn't look like there were any fields there, in The Name of the Doctor (TV story), Steven Moffat put together some kind of alliance between The Great Intelligence and The Whispermen...I suppose that snowmen were no longer available on a planet that looks volcanic? I'm guessing that that The Whispermen have nothing against The Doctor and are just agents of the Great Intelligence like The Silence had creatures/people working on its behalf.

So what is the connection between the Great Intelligence and the Silence? Moffat could have picked any location for The Name of the Doctor but he chose Trenzalor so there must be some link. However, The GI and The Silence seem to have two different agendas....The Silence need to prevent their own "fall" and The GI is seeking (for unknown reasons) to "undo" the good deeds that The Doctor had done over his lifetime.

All along, I assumed that Moffat would bring The Doctor to Trenzalor when Matt Smith wanted to leave and it was time for a regeneration and a new Doctor (hence, "the fall of the Eleventh"). But, no, he brought him there way before this.

So do any of you clever people see any connection between The GI, The Whispermen and The Silence and the pivotal role of Trenzalore in the missions of both groups?