@maxdancona,
I'm close now, Max. Would you mind doing a little more explaining? Sometimes I can be pretty dense, but once I get it, it's for good.
Here goes.
I'm at Earth in spaceship A capable of near light speed, say .99c
You're at Alpha Centauri in spaceship B
We blast off at the same time, each heading to the other's location. When I say at the same time I mean that an observer at the midpoint of the journey would see both of us depart our respective planets at the same time.
To an observer on Earth, my journey should take four years. Also the observer on Earth would see you blast off four years after you actually blasted off.
But isn't that when you'd be arriving at Earth? Or shortly thereafter.
Now from my point of view aboard spaceship A, in two years I reach midpoint and see you pass me, but that would be just about the time I would see you blast off from you point of origin.
Each of us would see the other's journey of two light years flash by in a very short time.
Please help.