Alek RichterEnlightened
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You’re conflating two separate things.
Spell attack bonus is to hit the target, which gives you a bonus of your spellcasting ability modifier (Wisdom in your case) plus proficiency. That’s the “melee spell attack” referred to in the spell’s description.
The damage done by the spell if it hits is 1d8 plus your ability modifier (Wisdom again). So yes it’s “only” 1d8+3 for you right now. But remember, spiritual weapon uses your bonus action to make an attack/move, meaning you can attack with it and your own attack, or attack with it and cast a spell, or use an item, and so on, and all without requiring concentration to maintain the spell. It’s pretty powerful in that regard.