I go to (and I am in) many places
I know (and have) different faces
You may think about me every day
You may even need me to keep sane
I live around rockets in outer space
I am often talked about during a race
What am I?
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Man
I go to (and I am in) many places
Man goes to many places and the text is literally in 'man'y.
I know (and have) different faces
Man has different faces, which can mean we are different people.
You may think about me every day
We think about people (or man) everyday.
You may even need me to keep sane
People (man) are a social creatures and need other man to stay sane.
I live around rockets in outer space
Man existence in space is dependant on rockets, so they live around rockets.
I am often talked about during a race
The people (man) racing are the contestants, so they are the ones talked about
Are you
Time
I go to (and I am in) many places
Time to go. Made it in time.
I know (and have) different faces
Clocks and watches have many different faces
You may think about me every day
What time is it? When do we have to be there?
You may even need me to keep sane
I need some time to myself or I'll go crazy.
I live around rockets in outer space
Rockets approaching the speed of light have relativistic time distortions (at least in theory and sci-fi).
I am often talked about during a race
How fast they finished (i.e. in what time) is often talked about.
I think you are
Dream.
Dream goes everywhere and is in everywhere.
Dream knows and has different faces.
People think their dream everyday.
People may even need dream to keep sane.
Dream is often talked about during a race.
Maybe you are a...
Dog
I go to (and I am in) many places.
Dogs are common around the world.
I know (and have) different faces.
There are many breeds and dogs know many owners' faces
You may think about me every day.
You sure do if you own one.
You may even need me to keep sane.
E.g. a companion dog.
I live around rockets in outer space.
Many dogs have gone to space.
I am often talked about during a race.
From the wordplay tag.. dog, to follow or tail, a term often used when racing.