No problem. The key stipulation is:
The Force does not exist on this planet or in its universe. Now let's try this again.

Since the Force does not exist on this planet, we are obviously using real-world physics rather than suspension of disbelief. Therefore, Odo instantly dies because there's no such thing as a macrocopic organic life form without fixed structure, and Data's positronic brain promptly explodes from the interaction of antimatter with matter. Moreover, Voyager's EMH, which functions by using a "confinement field" on light in order to generate a tangible presence also fails instantly, since that is nothing but pseudoscientific bullshit. And Kes has no powers either, since her powers are similar to the Force. So we are left with:
ST team:
- Data with his head blown off
- A dead pile of goo
- A small, inert, useless calculator-like device
- Geordi Laforge with some futuristic eyeball implants
- A young girl with no powers
SW team:
- A young boy with no powers
- A block of metal
- Chewbacca
- Jar-Jar Binks
Or, simplified to their respective useful components:
ST team:
- A guy with night-vision
- A young girl with no powers
SW team:
- A young boy with no powers
- Some kind of ape-like creature with enormous strength
- A bipedal humanoid amphibian with unknown strength
Geordi's night-vision would be a potential advantage, but he alone would be easily overwhelmed. Unless the two teams work together, they'd both be toast (they might be toast anyway, but that's the deal).