Okay, let's break this down at a reasonable level, say 8th. We'll use Life domain and a greatclub (simple weapons only), and assume a Strength-first build since that gives the best DPR: Strength 20, Wisdom 16.Weapon : 1d8+melee modifier (or Wisdom modifier if you have Shillelagh, Nature Cleric only)
Green-Flame Blade cantrip : 1d8 at level 5, up to 3d8 at level 17
Damage feature : 1d8 at level 8, 2d8 at level 14
Then you use Spiritual Weapon, that allows you to make a Melee spell attack with a Bonus Action :
Spiritual weapon : 1d8+wisdom modifier at level 3, up to 4d8+wisdom modifier at level 15 with an 8th level spell-slot.
Your base damage, using no daily resources, is 1d8 (greatclub) +1d8 (green-flame blade) +1d8 (Divine Strike) +5 (Str). You're doing 3d8+5 damage, averaging 18.5. In addition, when there is another enemy within 5 feet of the first, you get to tack on an extra 1d8+3, averaging 7.5. We'll say that happens 50% of the time, so it's an extra 3.75 damage, for a total 22.25.
If you add a base-level spiritual weapon, you pile on another 1d8+3, but slightly less accurate since it's a spell attack and you went Strength-first. Assuming a base chance to hit of 75%, your spiritual weapon attack hits 65% of the time, which is equivalent to reducing its damage by a little over 13%. The damage contribution of a 2nd-level spiritual weapon is thus 6.5, for a total of 28.75. A 4th-level spiritual weapon is worth 10.4, for a total of 32.65.
The designers assume 6-8 encounters per day and 2-3 short rests, but I suspect 4 encounters and 1 short rest is more realistic. You have two 4th-level spell slots, so you'll be doing 32.65 half the time and 28.75 the other half. Final average: 30.7.
A greatsword EK at the same level deals 2d6+5+1d8 with green-flame blade, and then gets a bonus action attack from War Magic for 2d6+5. That's 4d6+1d8+10, and re-roll any d6 that comes up 1 or 2, for a total of (4.17 x 4 + 4.5 + 10) = 31.17. You also get the same fifty-percent chance of dealing 1d8+3 to another target, bringing us up to 34.92.
However, Action Surge lets you make two regular attacks for 2d6+5 each, averaging 26.67. If each fight lasts 5 rounds, and you get 1 short rest per day, that's 2 Action Surges over a total 20 rounds of combat, so you get the benefit 1/10 of the time, which comes out to another 2.67 damage. Final average: 37.58.
So the EK wins handily, unless I've overlooked something.
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