It should stack just fine. I had forgotten about Arcane Wrath, though. The guaranteed +4 to hit is probably better than Arcane Strike, since you can just burn a 1st level slot to get the +4 to hit.
And no, there aren't that many great spells you can arcane channel off the Arcanamach list, but I seem to recall the duskblade can only channel spells cast from duskblade slots. I am quite likely wrong on that one, since I am AFB, but it might be good to doublecheck that.
Edit: If you are still set on using a Domain, use the Moon one. Moonblade can get you a two-handed weapon that makes all attacks as a touch attack, as well as some other interesting abilities. Yes, it's once/day, but it's got a decent duration, and would make for a pretty good offensive weapon due to not having to worry nearly as much about attack rolls.