Okay, I thought about this for a while and I came up with a mostly physical, wisdom not required, part druid build. I haven't had time to crunch the numbers but it should get you there.
Human Barbarian/bard mc/ Druid
Stats - STR, Cha, wis
Feats - IotOF (druid multiclass), Combat Virtuoso, MC power replacement chain, versatile
Powers by paragon -
At least one at will, encounter, utility & daily from Barbarian, Druid & Bard.
So here's the run down: The goal of this build is to exploit the bard feat combat virtuoso to allow us to switch all of the druids Wis based powers to trigger off Cha. Well obviously a bard isn't the best fit for someone who's looking for a combat class either so I hybrid bard with barbarian. This reinforces the OP desire to stay within the primal power source and provides many powers that have an animalistic feel. With the Wis powers of the druid converted to Cha powers, we are free to focus on Str & Cha with ability stats. Keeping in mind we still need at least a 13 wis to qualify for multiclassing. Lastly, I threw in Versatile expertise. While not strictly required, I think the +1 to hit will help a lot in offsetting the wackiness of this build.
Power selection is going to be the tricky part here. You basically always have to have at least one power of each type for bard and barbarian or the character builder gives you fits. This means that you can't get away from the bard side of the build. This is okay, because oddly enough, the bard has powers at most levels that fit perfectly fine with a primal themed character.
Once you reach Paragon Multiclassing, the end result off all these shenanigan, will be a Warrior Scald style character who wildshapes, has mostly primal themed powers and enough druid powers to feel, at least a little, like a druid. Druid powers, I might add, that have a fairly solid tohit despite having only a 13 starting wis.