No
I think no, but I can't quite prove it.
I'm looking at the actual books, and I don't see any errata for it in the current Player's Handbook PDF on Wizards' site. One of the answers on this page claims some errata exists which would make this answer much more clear.
Rules-as-Written
Weapon of the Gods' Effect line says
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.
Contrary to Tobold's answer, nowhere in this effect is the key phrase "Weapon attack", which would explicitly require the Weapon keyword on the affected attack, but it does say "attacks made with the weapon", which is pretty close.
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. Weapon of the Gods' phrasing says "attacks made with the weapon", but the bow is being used as an implement, not a weapon. I would say that technically, given the way it's written, the bow is still a weapon, and you're making attacks with it, so it would count. But, given the way other powers work, I would be surprised if that was the intent, and if I had a citation for the aforementioned errata it would prove this suspicion.
Role-Playing
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.
For an in-game explanation consistent with my above rules interpretation, 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, and your combo would work.
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. Why in the world would your extra radiant damage from Weapon of the Gods not apply to an arrow shot from the bow?
So, if it were me, I would ask my DM to allow this combo to work, simply because I think the second and third explanations make more sense than the first. But be up-front about the fact that it might not technically be rules-as-written, 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.