...only using the namespace xmlns:i="http://www.w3.org/2001/XMLSchema-instance (all call have this)
I think relying on that namespace declaration, even all your instances have it, is a (very) bad choice. The reason is that its appearance has actually no functional purpose at all, it does not have any material purpose as far as the
soap message you shown. Its presence would be not add any useful information to the message and its absence would not retire any information, neither. So you can expect at any time it might disappear or it might appear somewhere else... It is an unreliable piece of declaration to rely on.
When you want to "cut" out the fragment of xml you mentioned, it may be better to cut including its wrapping element (its parent) so that you get back a piece of xml itself capable of being treated as a complete document by itself if you want to. That means your cut would better including GetPatientTreatmentTeamResult or even simply including the GetPatientTreatmentTeamResponse. The latter is actually the starting place of the payload, the material info of the soap message...
I understand the name of GetPatientTreatmentTeamResponse may be varying but there must be some constance for the receiving end of the message to have a grip of it. That constance may be the namespace of the payload or something else...
I can send you a demo code block relying on the sole fact that the payload be the direct child of the s:Body using xpath. After getting the payload itself, and that if you want to use dom's getElementsByNS to look further into it, you have to know the namespace to firm up things. The approach may not be as simple as you might think if you have not much of the idea of what is all about. It shows you the basic tools with xpath as well as dom. But with the code block, I hope you may look up tutorials with a better idea to get the gist of what they want to show and demonstrate for the readers.
edition: Upon reading, I edit the sxpr that I've forgotten to append /* to it to keep the story I built consistent.