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Bytes	Lang	Time	Link
011	Japt	170623T160802Z	Shaggy
008	05AB1E	170623T161040Z	Erik the
074	Python 3	170623T160703Z	irapsage
008	Jelly	170623T160559Z	Erik the

Japt, 13 11 bytes

Takes input as an array.

Ëu ¸¬Ãvá rø

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Ëu ¸¬Ãvá rø     :Implicit input of array
Ë               :Map
 u              :  Uppercase
   ¸            :  Split on spaces
    ¬           :  Join
     Ã          :End map
      v         :Modify first element
       á        :  Permutations
         r      :Reduce by
          ø     :  Contains?

05AB1E, 8 bytes

lðδKJ€{Ë

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Python 3, 74 bytes

def f(a,b):print(g(a)==g(b))
g=lambda a:sorted(a.upper().replace(" ", ""))

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Jelly, 8 bytes

ŒlḟṢ¥€⁶E

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