I'm sure Rasputin knew hypnotics and used these to stop the bleeding(as stated before),
and as for the different ways Alix and Ella approached their faith's it is intresting to see they both accepted it with their whole being but that Ella kept a string to reality and relied on her faith, but kept an eye on things around her, while Alix was too religious and often relied too much on her faith. Though I can understand why Alix relied so much on her faith, she simply wanted healing for her son and saw only one way to ask, by her faith. I think it is sad the sisters parted after an argue on Rasputin, once more, and never met again. I recall the last news IF received from Ella was in a letter for Easter 1918 - If I'm correct.
For me Ella is a 'figure' that gives hope during dark times, and a bearer for the needs of the poor and grieving people, I see each member of the IF in this way - but each has a different meaning, relegious then -, also she shows one can have the strenght to overcome everything. Even death and hatred(as this also is shown with the IF themselves).