Can't go wrong with a T3 in my opinion. I had a T3 Lite in stainless (300WSM) that shot under 1 MOA with factory ammo (Rem Premier 180gr Scirocco, and Federal 180gr Hi-shok). Smooth action, 2-4lb adjustable trigger, lightweight, etc. Shooting under 1 MOA with a Tikka using various factory loads doesn't seem too uncommon in whatever cartridge. The forums are full of people reporting the same.
Not trying to bash the Weatherby, but isn't the MOA just a Howa in a different stock? I distinctly remember a rifle or hunting magazine testing the MOA and they noted that the rifle would not shoot under 1 MOA. I was surprised that they wrote that since many magazines seem to suck-up to the manufacturers. I also recall reading posts from MOA owners who stated the same... the rifle failed to meet the Weatherby claim. Maybe the magazine testers and forum guys didn't try enough loads or it was operator error. It just seems like the interweb is full of happy Tikka owners who report that the T3 seems accurate with various factory loads. You don't need to find a pet load, and they literally seem accurate from the very first round (really no break-in period).
I've never owned a MOA or Weatherby, but do know that the T3 is really popular. Most every owner reports excellent accuracy. The major complaint seems to be the synthetic stock, but I think its comfortable and relativley durable for the price.
The Tikka may not meet everyone's requirement, but I have heard that it is now one of the most popular hunting rifles based on sales in the US now. I know my local gun store sells a lot of them, and they say its by far the best seller. I've never heard that claim made about a Howa or a Weatherby. Not to say those rifles aren't nice, but there must be a reason why there are a lot of Tikkas sold these days. I think its because of the great accuracy, lightweight compared to the competition, and price. Add-in a smooth action and crisp 2lb trigger with little or no over-travel and how can you go wrong for $500-600? Really, what rifle offers those features for $500?