I have to agree that sometimes when there is a problem the only way around it is to pull the battery. Iphones have non-removable batteries. Those are the only phones that I have heard that are like that. I have a tablet that has a non-removable battery. You can generally get a replacement battery with full instructions and the tool needed to open the case from online retailers. But still, pulling that battery when needed is a big deal.
I am glad that I saw this thread as my wife is on Straight Talk and was looking at the Moto as a replacement phone.
Just did some checking - Straight Talk is offering the Moto E - here is link to removing the battery door - just like any other phone -
https://motorola-global-portal.custhelp.com/app/answers/prod_answer_detail/a_id/98974/p/30,6720,9146BUT SURPRISE this only gets you inside where you have to take apart the phone to get to the battery - so yes, it has a non-removable battery which is not mentioned by any of the reviews.