First off, I
LOVE It Is Well With My Soul!! That's one of my favorite songs, and the words are amazing! But I get what you're saying about them being written in a different spirit, but I'd say it's the minority that are like that. At least for the songs I listen to. I'll quote
Glorious Day by Passion again, because I think it's a great example:
"I was breathing but not alive
All my failures I tried to hide
It was my tomb 'til I met You
You called my name and I ran out of that grave
Out of the darkness into Your glorious day"...
"The old made new
Jesus, when I met You"
Notice how the words speak of presently living in righteousness with God. The past was awful, but now Jesus has made things new.
More examples include:
I am redeemed, You set me free
So I'll shake off these heavy chains
Wipe away every stain, now I'm not who I used to be
I am redeemed
Redeemed by Big Daddy Weave
This is amazing grace
This is unfailing love
That You would take my place
That You would bear my cross
You laid down Your life
That I would be set free
Jesus, I sing for
All that You've done for me
This is Amazing Grace by Phil Wickham
And if our God if for us
Then who could ever stop us?
And if our God is with us
Then what could stand against?
Our God by Chris Tomlin
My heart beating, my soul breathing
I found my life when I laid it down
Upward falling, spirit soaring
I touch the sky when my knees hit the ground
Touch The Sky by Hillsong UNITED
Chains fall, fear bow, here, now
Jesus, you change everything
Lives healed, hope found, here, now
Jesus, you change everything
Holy Ground by Passion
These songs talk about the present glory revealed through Jesus, and that we are currently in light of what He has done for us.