How does the poem "If" relate to the concept of integrity?

Clearly there are a number of parts of this poem that
refer to the concept of integrity. Kipling has created in this blueprint his vision of a
perfect man, and thus part of this necessarily involves the discussion of integrity at
various stages. We can see how this comes up in the first stanza with repeated
references made to how you interact with others and how this influences
you:

IF you
can keep your head when all about you 
Are losing theirs and blaming it on
you,
If you can trust yourself when all men doubt you,
But make
allowance for their doubting too;
If you can wait and not be tired by
waiting,
Or being lied about, don't deal in lies,
Or being hated,
don't give way to hating,
And yet don't look too good, nor talk too
wise:

This stanza urges the
audience to stay true to their inner integrity and not turn away from that. The listener
is not to fall into the same mistakes as those that accuse them. If they are being lied
about for example, they are not to "deal in lies" either. Likewise, even if everybody
else doubts you, the listener has to hold true to their own integrity and self-belief,
even if everybody else is questioning that.

A lot of the
poem really talks about the concept of integrity and being true to ourselves. There are
obviously many challenges that "men" face during life that threaten this sense of inner
integrity, and throughout the poem, Kipling argues that to be a man is always to
maintain that sense of integrity and not to yield on it for one moment. Note how the
second stanza talks about not letting dreams or our thoughts or Triumph and Disaster
change us for the worse:

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If you can dream - and not make dreams your
master;
If you can think - and not make thoughts your aim;
If you
can meet with Triumph and Disaster
And treat those two impostors just the
same;

The overwhelming
message of this poem then seems to be that whatever we do, whatever is done to us, and
whatever we meet in the course of life, we must stay true to who we know ourselves to be
and not be influenced or dominated by any of the many possible things that could cause
us to compromise on that.