I'd jump through the rift as fast as I could. I know I have't seen almost nothing of our planet, but if'd get a chance to explore the Universe, I'd go right ahead. A mission like USS Enterprise's or USS Voyager's would have been perfect for me. Just cruising down the Milky Way or such and exploring whatever I would stumble upon.
Of course with rifts such as this one, you never know where will your jump end. It might bring me to a Hellish system like our Earth in DOOM and I would need to fight for your life. It might be a time jump and I could end up in the middle of WW2 so I guess I would get an opportunity to snipe. It could be something typical from our SciFi, like in StarGate series and Outcast game, and I would fight to save the people from the oppresors. But then again I might end up on some great planet, perhaps even The Planet of the Babes :D , and well :D ...
Whatever lies on the other side, this is a step that must be taken, and I am, willing to take it.