I tried to answer this within the model of clean vs organize but really couldn't. For me, I prefer DEEP cleaning to regular cleaning.
I'm AWFUL at day-to-day cleaning. It takes me forever. And the results aren't even that great.
Fortunately DH is great at it. In 20 minutes he can take a room that is a DISASTER (I'm talking stuff all over the floor, boxes piled up, laundry everywhere, toys underfoot, the WORST) and make it look pretty respectable. But he WILL leave clutter on the edges of the room (on dressers, desks, etc.). He'll make it "ok" (straightened up etc.) but that's as far as he goes.
Enter me. I will take that clutter and work through it. I'm not fast but I'm thorough. I'm the one who will move furniture to sweep/vacuum under; DH won't. I will be dusting windowsills; DH won't. I will make a pile of clutter disappear; DH won't. When I'm done with a room, it will look ready for for a visit from GRANDMOTHER (you know, the one who wipes her finger on the door top and goes "tsk tsk").
But if I have to start from the beginning, I just can't do it. Period. It will take me a MONTH to do it from the beginning. I will CRY.
So for me, cleaning and organizing have to be one and the same.
Unfortunately it just hasn't worked out since having DD. Right now we have 1 room in the house that is clean, and the rest are disasters. DH cleans them all about twice a week, but it's only when I do my stuff that things STAY that way (well, for about 3 months or so).
Homeschooling mama to 6 year old DD.