Do you mean "survival" in our physical form? How long should our "survival" last to make it easier for you to believe that God would create us that way? Most religions believe that God created us to live for only a limited time in our physical form.
Individuals die. The race survives.
We're pretty sure that life can only exist on this planet for at most 5 billion more years due to the lifecycle of stars like our sun.
The only way to survive that is to not be around for it.
Perhaps my imagination is limited, but I do not see how you can make it to other stars without FTL speeds because of the time the journeys would otherwise take. If you can't travel faster than light, then you are stuck loafing a long at sublight speeds. Even at speeds that are thousands of times greater than the speed of light, the distances between stars is unimaginably vast.
If you doubt this, download a copy of Celestia and see how long (in real time) it takes to get to Pluto in real time when limited to the SoL.
Then try waiting for how long it would take you to get to Alpha Centari while travelling at 1AU per second.