RUN DAX FROM A BUTTON

Don't know if I understand the question correctly but I use this trick

1- create a one column table which won't be linked to any other table in the model

2-insert text values like "MeasureA" and "MeasureB" in the column values. I usually put the name of the following measures for clarity
3-create two measures, one with the ALL and one without 
4-create a third measure that says: if the selected value in the unlinked table is "MeasureA", then give me the first measure. If the selected value is MeasureB, give me the second measure.
5-put a slicer with the column created in the slicer selection (the one where you can select measure A and measure B)
6-put the third measure in the graph/table and use this slicer as a toggle to switch between measure 

Again I'm not sure this is the behaviour you want but this allows you to switch between the function with ALL and the function without the ALL and keep everything else as if it was the same measure

Anonymous I don;t think button can do it, but you should create  a  slicer table and based on the value selected, add condition in your measure to include ALL data or fitlered data.