Good strategy or just a pipe dream?

Okie. So last night I had my first chess dream.

I didn't play an entire game. The position just appeared and it was my turn. Here is the position, the best I can remember it. (In my dream, it seems like the LSB was on e4.But that couldn't be because black would be in check, but it was my turn.  )

So it looks like I am attacking that pawn. But this move was actually meant to be a defensive move. I felt blackwas going to move his forces over to the queen side and come in at my king from there. So I was working to limit his scope.

Does it seem plausible?

boogie.

Just initial impressions.

White is two pawns down, so what are some ideas? One is to attack the loose king, and another is his general light square strength.

So I would look at moves that centralize the queen, put the rook on an open file, or put the bishop to hit some light squares around the enemy king.

A rook on g2 is not part of an attack on the king, and will not be a good light square blockader.

And you're saying light squares because I have a LSB and my opponent had a DSB?

I thought about some type of attack on the king, but it seemed that with those 2 pawns out there, black would have no problem distracting my forces with pawn advances.

BTW - In real life, I would have played out this position as well.

Yes, because the bishops, but also because of the pawns.

Maybe think of it this way. In the upper left quadrant, how many light squares do black's pawn control, then add how many do they have the potential to control?

The answer is 1 out of 8, and it's on the edge of the quadrant (b5). The black king is loose.

Is this enough to offset the two pawns? No. Will the pawns distract your forces? Yes. But if you're not going to resign (I'd play more moves too) then you need to use your trumps to their fullest.

IMO the trumps involve the light squares and the loose king. (The light squares are also how you'd likely blockade the pawns, in an ideal position.)

So going through each piece, I said how I'd try to improve it. Queen in the center, Rook on open file, and Bishop hitting somewhere in the black king's quadrant.

Sometimes a rook to attack a pawn is exactly the right idea. Here, the pawns are connected, so it just sort of slows them down at the cost of rook activity. Like you said you're not really attacking them to win them. Sometimes your idea is right, but here it's what I'd call a passive defense. You're just trying to impede his progress for a while. But if you can't 100% stop the progress (a fortress) then the material advantage will win in the end. So definitely I think the better try is to play actively.

Also note you're weak on the dark squares. It's not only the passed pawns, but if black can organize then white may find himself under a big attack. For that reason too I think your primary focus should be to generate threats against his king and place your pieces as actively as possible.