Playing and destroying this card (with Mystical Space Typhoon, etc.) may seem inefficient from a card-advantage point of view (Hammer Shot does the same thing with one card). However, playing this card does produce a shaky situation for your opponent. Should the player summon a monster whose attack strength surpasses any of your monsters', he/she runs the risk of you destroying it and his/her strongest monster along with it. If your opponent doesn't top any of your monsters, he/she would quite simply not control the strongest monster and would be vulnerable to attack. There are only two real ways of getting rid of the problem: summoning a monster and risk losing it, or destroying it to negate its effect.
This card can be combined with Uria, Lord of Searing Flames to Special Summon it as well as destroying a strong enemy monster, since this card's effect will resolve before Uria is summoned. It can also be used to protect it from Spell cards once there are a few Continuous Trap cards in the Graveyard.
If you plan on destroying this card and you control the monster with the highest ATK on the field, you can use Interdimensional Matter Transporter to remove that monster from play and avoid its destruction by Pole Position's effect.
Alternatively, use this card to defend your strongest monster, and when your opponent plans to destroy it (and by extension your monster), use Interdimensional Matter Transporter to banish your monster, and (hopefully) cause one of his monsters to be destroyed.
This card is an excellent option for control-shifting cards your opponent may use. Since your opponent will likely control your strongest monster, by using this card you can protect the monster and/or force your opponent to take control of a weaker monster on your field (or no monster at all if you control no other monsters).
Use this card's potential for Infinite Loops to your advantage: For example, if you already control the monster with the highest attack, equip it with something like Axe of Despair, and you will seriously restrict your opponent's summoning options. Summoning a monster with more attack than your monster will cause an infinite loop; they will not be allowed to do so. They may only summon monsters with less attack than your monster, or monsters with attack that exceeds what your monster would gain with its equip spell card.
Use Magic Planter so that you can draw 2 cards and destroy the monster with the highest ATK on the field.
Use this card against decks that use a lot of one-for-one monster destruction cards, like Gadgets.
This card is a good answer against cards like Judgment Dragon, XX-Saber Hyunlei, Dark Armed Dragon, Mobius the Frost Monarch and similar high-ATK monsters that can threaten your set Spell/Trap cards. As soon as they activate their effects and try to destroy a set Pole Position, you can chain it. Provided the mentioned monster is the one with the highest ATK, it will basically destroy itself.
Since this card's effect to destroy a monster(s) doesn't start a Chain and it doesn't destroy a monster when it's activated, then it's immune to cards like Stardust Dragon or My Body as a Shield.
Use this card with "The Wicked Eraser" to grant it spell immunity and to clear the field when Pole Position is destroyed.
Play this card with "The Wicked Avatar", as it always has the highest attack on the field. When Pole Position is destroyed use Interdimensional Matter Transporter to save this card.
Similarly, "The Wicked Dreadroot" is usually the strongest monster on the field so it benefits in the same way.
Use this in a Meklord deck early in the game, your Meklord Army monsters will gain their effects while "The Resolute Meklord Army" is on the field, ideally, "Meklord Army of Wisel" will be the target of your Pole Position, allowing your other Meklord monsters to pierce. If your opponent summons something with greater ATK, then your monster is still safe, as Army of Wisel is now affected by The Resolute Army.