OK, Scott, I'm not going to tell you that I think exactly like a guy and I know I make mistakes too, but my theory in 8 ball is this - survey the table, run out if you can (figuring backwards from the 8 ball) and start digging out my trouble balls early, hopefully without improving the lie of my opponent's balls. If I get in trouble early, especially if mixed with my opponent's balls, I will duck and maybe let them have a shot at it. It depends on what the cluster looks like too. I may save it when one of my balls 'go', knowing they can't shoot it without a breakout, and I can at any time. I might try to tie one of theirs up if I can't get out.
One thing that favors me and my shooting ability in 8ball over 9ball is when I would miss in 9ball, the ball would hang for the opponent, whereas in 8ball, it is sometimes an advantage to hang a ball to control the pocket and block other access to that pocket. I try to move their blockers as soon as I can too.
The same safeties in 9ball where you try to leave rail to rail don't work either, as you do NOT want your balls on end rails. So instead of missing on the 'pro' side of overcutting, in 8 ball a lot of times you want to undercut so that in the event of a miss, it comes up table. You also want to play pocket speed on some shots to block the pocket. You usually play zone - taking out the balls in one half of the table and using an intermediate ball by the side to travel down table, hopefully the section with the 8 ball. Occasionally, those patterns are forced to change or I see a better one while I am shooting, but ordinarily, I pretty much already know what my patterns are going to be.
So there are a lot of nuances about 8 ball that I feel I do 'get'. Like 9 ball, I am always looking to play 3-4 balls ahead and try to get the perfect angle for breakouts, calculating where the best spot of impact may be and where whitey will land and lessen the chance of scratching or making the 8 early - both of which I am always aware of.
So I may not think like a man, but I believe I think enough like a player to get the job done, if given an opening, if I can just make the balls.
Linda
Btw to another post I saw about women and one pocket - I LOVE to play one-hole. Once I ran 8 and out banking every shot long rail (always protecting whitey) on a 9 footer with tight pockets. I've even been known to make a ball on the break.

I am pretty good at looking at the stack to see what is wired or makeable. I think one reason women don't play it is because you almost have to be one of the boys in the poolroom, and most women don't want to gamble and that's how you get a lot of practice and seasoning at 1-pocket. Also, women aren't always really patient. I like to go for my hole a lot, which is probably my strength anyway. lol