That's why no one in the very history of mankind have ever really touched another human being, or anything at all: if that happens, oh boy what a catastrophic thing it would be!
You are right.
There are some people that work really hard trying to come up with good theories and good experiments to put your proton collision on equal footing to your "gravity collision". As for the protons, we understand that some virtual exchange of photons is (partially) responsible for this change of paths.
We don't always bother to have our paths changed, unless we are very close to other stuff (when you try to touch someone, for instance). That is due (again, partially) to the fact that ordinary-day-to-day matter is neutral in a macroscopic sense: you only feel the charges if you are much nearer to them, otherwise it is "screened" by their surrounding mates.
There is positive and negative: lack and presence of charge.
But gravity... It doesn't seem to come in more than one flavor: all it takes is inertia (as long as General Relativity is concerned). Therefore, we can't screen those effects in a daily basis, and so gravity cannot but "collide" with us all the time.
But please, be sure to understand that classical collision such as billiard-like are emergent phenomena, and that - again, as far as we know - the fundamental thing that goes is an electromagnetic interaction.
Any questions are welcome, and so is any critique/correction.