I understand your problem with the Savage Worlds dice mechanic. You're taking a simulationist view of it, and Savage Worlds has a different philosophy. Savage Worlds prefers speed and simplicity over simulation.
The die mechanic is designed so that you can quickly roll the die and see if you succeeded, usually without any math, and the exploding dice makes every roll potentially exciting.
As for your arm-wrestling example, any sensible GM would just say that the person with the higher strength die wins. There really is no element of chance in arm wrestling.
That said, you HAVE to play it to understand it. Even reading the book isn't enough because it's just that different.
Uhhh no, I have played it several times. Ubiquity is fast (at leased with custom dice). Having a fixed TN of 4 drives me batty! Why because the math applies to your roll! Ok I roll my d6 and get a 5 sweet oh wait no I'm at a - 3 penalty so uhh 5-3 is 2 thats not 4 so I miss. Like I said its the game I want to love but everytime I play it, the mechanics leave me cold.