Need help with assault charge?

Basically what has happened I went out with my girlfriend on Sunday, we were both drunk and she ended up in a fight all I did was grab my girlfriend away from my other friend, the police where called and I was arrested and charged with assault on my girlfriend because two neighbors have written statements but they both only saw me pulling my girlfriend away and not the fight I was pulling her away from! I have been charged with assault based on them two witness and my bail conditions are I can't contact my girlfriend..in the mornin she could not remember wat had happened and told the police that..she knows that all I did was pull her away from a fight and is desperate to see me as I am her! What I can do? It seems the police only have these two statements. Even tho there are atleast four people included my girlfriend who know what I have said the truth and are willing to give a statement to the police but the police just don't seem to want to know??