It seems that Wizards has published errata for the power in question, Weapon of the Gods, but it is only visible for DDI subscribers. The official errata published for non-subscribers does not include these changes, as can be seen in the relevant PDFs: Player's Handbook Errata PDF, Divine Power Errata PDF.
My playgroup has no DDI subscribers in it, so it only makes sense for us to ignore these sort of changes. Therefore, this question will have two answers, depending on if you care about DDI or not:
With DDI, No
Weapon of the Gods' Effect line says
Until the end of the encounter, the target deals 1d6 extra radiant damage when used to make a weapon attack. In addition, whenever an enemy is hit by a weapon attack using the target, that enemy takes a -2 penalty to AC until the end of the next turn of the target’s wielder.
The key phrase here is "Weapon attack". The only attacks which are "Weapon attacks" are ones with the 'Weapon' keyword.
Seldarine Dedicate's Honor the Bow feature says
You can use a longbow or shortbow as an implement for your cleric or Seldarine dedicate implement powers. When you use an implement power through a longbow or a shortbow, you add the weapon's enhancement bonus, if any, to the power's attack rolls and damage rolls, but you don't use the weapon's proficiency bonus. If you score a critical hit with a magic longbow or shortbow when using it as an implement, you use the weapon's critical hit effect.
This feature allows you to use a bow, which is a weapon, as an implement. It does not add the Weapon keyword to attacks made with a bow. Therefore, since these attacks are still not Weapon attacks, Weapon of the Gods would not trigger, even though you are using a weapon to make the attacks.
Without DDI, Yes
The phrasing of Honor the Bow remains the same, but Weapon of the Gods originally read:
Until the end of the encounter, all attacks made with the weapon deal an extra 1d6 radiant damage. When the weapon hits an enemy, the enemy takes a -2 penalty to AC until the end of the weapon wielder's next turn.
Note that this phrasing does not say "Weapon attacks", but instead "attacks made with the weapon". So, even though your Implement attacks haven't gained the Weapon keyword, you are using a bow, which is a weapon, to make the attack. Therefore, any Implement attacks made with the bow after targeting it with Weapon of the Gods are "attacks made with the weapon" and you would get the extra benefits.
If you're not overly concerned with the technical RAW interpretation of things, you might be more interested in what makes sense in your game world and what is implied by the text descriptions of the game elements you're looking at. You could go several ways with this, depending on what ruling you go with concerning the legitimacy of the combo.
For an in-game explanation consistent with this combo not working, look at Weapon of the Gods' flavor text: "Your weapon glows with divine radiance, enhancing your attacks", and notice that it has on on-hit effect: "when the weapon hits an enemy...". So, basically your sword is glowing and does extra damage when it hits. Since this is a ranged weapon we're talking about, it would be the arrows that get radiant. You don't fire any arrows for those implement attacks, so it makes sense that nothing extra would happen.
On the other hand, maybe the bow is glowing and it imparts radiant power to each arrow as it's loosed. In this case, if holy powers are channeled through the bow, then it makes sense they might be even more holy, even if no arrows are involved.
On the third hand (this is fantasy after all), the text description of the Seldarine Dedicate says "Your weapon is inscribed with sigils and runes, which flare with emerald light when you fire a shot with a whispered prayer". To me, this implies you're supposed to be shooting the bow in a holy fashion, which would imply that instead of just saying a prayer with a holy symbol for your powers, you now shoot holy arrows at things. Furthermore, your lvl 20 Daily says "you launch a fiery bolt from your bow that erupts into white-hot flame where it hits", but is an implement power without the Weapon keyword. So you could instead view all your implement attacks as bow attacks which actually involve shooting an arrow or arrows.
So, if it were me, I would ask my DM to allow this combo to work, if only because I think the second and third explanations make more sense than the first. But be up-front about the fact that it is not technically RAW with DDI, and that therefore there could possibly be balance issues.
Whatever rules you decide to go with, the role-playing flavor is ultimately up to you, so choose something consistent with those rules.