Not an ideological drive, i.e. not driven primarily by ideology. Driven more by a primitive will for my physicality to survive beyond my physical lifetime.

So mostly an attempt to address the fear of death?

Not fear. Just the certainity of death.

How does persistence of DNA address death?

DNA = A blueprint for something that makes me unique, and the only known way to travel through time, into the future — in the most sentient form I know of — as a ”not me, but still me” human.

There is nothing sentient about DNA.

Is that ideological or biological?

Unless you think concepts like "genome" and "propagation" are somehow encoded in our DNA, it's ideological.

There are clear biological drives to sex and caring for young, but I don't see evidence for a direct biological drive for being fruitful and multiplying.

I suspect, like many human things, it's an underlying biological drive interpreted by our lawyer-as-narrator, the consciousness. I'm thinking of the "elephant and the rider" metaphor -- the elephant has drives for sex and care of young, the rider on the top rationalizes it.

The elephant turns left and goes into a river. After they're headed for the river, the rider thinks, "I'm hot, I should go to the river."

Sex and caring for young directly results in "being fruitful and multiplying".

But no inbuilt explicit desire for it.