  The Signalizer Functor Method as developed by Gorenstein and Walter played a
fundamental role in the first proof of the Classification of the Finite Simple
Groups. It plays a similar role in the new proof of the Classification in the
Gorenstein-Lyons-Solomon book series. The key results are Glauberman's Solvable
Signalizer Functor Theorem and McBride's Nonsolvable Signalizer Functor
Theorem. Given their fundamental role, it is desirable to have new and
different proofs of them. This is accomplished in {\em A new proof of the
Solvable Signalizer Functor Theorem,} P. Flavell, J. Algebra, 398 (2014)
350--363 for Glauberman's Theorem. The purpose of this paper is to give a new
proof of McBride's Theorem.
