Does that make us insignificant?

No.  It makes us each precious and rare.  And more....

Picture the entirety of spacetime as a geometric object, with one dimensional axis representing time.  Each of us is the owner of one small slice of that object.

Imagine your thin slice.  The past to one side and the future to the other. Even in it's full extent, it is nothing in context of all of space time.

Now, picture the slice of someone significant to you.   Put it next to yours and look at the points where it overlaps and interconnects.

Now add someone important to them...and to them...and so on.

Now add the slices of the people you have less important interactions.  Watch it fill out.

All of our slices are bound by infinitesimal points of intersection.  These intersections are even more fleeting and insignificant in the grand continuum.

But that makes them the most important thing in all of it.

Each of our moments together..each of our interactions...Sharing a cup of coffee, playing with our children, kissing a lover, paying for a magazine at a news stand...all of these are absolutely rare events in the universe.  And the odds that any two conscious entities should share one of these small intersections..well, the odds are against it.

So every moment truly is precious and special. Every interaction is important.  It took 14.5 billion years, and a trillion happy accidents to lead to you and that other having that moment of intersection.  And in the grand continuum, you will be forever entangled.