The Uthgardt worship Uthgar through their totems, which are tribal, but he's still their patron deity. The main places it's different are for divine casters with domains and for flavor. Uthgardt worship includes a fair bit of revering honored ancestors too (the big ones get buried in the ancestor mounds) so it's all one neat package.
...Tyr and Torm care about that too, and like the Helmites believe that Sundabar's existence is a good in itself, but where Helm is mostly a preservationist they're more perfectionist. Tyr believes in a constantly improving mode of administration through laws as key to Sundabar's success. He's not for blind or absolute justice and they can be flexible. A Tyrran might not love that crime happens or that the law treats some differently than others, that may not be ideal but the desire to mend it should be balanced against the risk of bad consequences.
Tormtar are less comfortable with that balancing act, being much more an order of crusaders against evil itself.
Thanks! Helm's faith is a bit less how I envisioned it, and Tyr's more like how I envisioned Helm's, so the story hook works out well after all. :) I'll put down Uthgar as Vargdan's faith.