When alpha dogs collide you see raising of hackles and you hear snarls & barks...then comes the gnashing of teeth and to-and-fro attacks...much noise, much heated action. Then, sooner or later the battle subsides.

Tied to all this - 

Of course, as Napoleon Hill made so clear during the last years of his life - Ultimately, Nothing Matters. The day will soon come when the snarls and barks and even the painful yelps subside into memory. 

Ultimately, Nothing Matters.

Regardless, 'ultimately' does not apply to the current situation. The current situation is - now...and...now, right this moment, Many Things Matter...especially, if you have in your mind Personal Values and Personal Goals...let alone Personal Rules, codes of conduct, morals, etc. The stronger your convictions in these areas, the more things matter.

If you do not believe me then just ask a couple of alpha dogs. But, take care not to be bitten or at least snapped at during the process.