My experience was that grinding wasn't the solution. And I prefer the Steele Rubber weatherstrip. Buy the whole kit - it's cheaper than the weatherstrip alone.
Bending the hinge (and opposite of what intuition dictates) is the answer. You have to remove the hinge to bring it in. Bend your hinge(s) to bring the leading edge in and the whole door moves in. If you over-correct, then the block of wood can be used to sneak it out. My doors were lining up fine with the stock latch. I finally fixed all my closing issues by going to Bear Claws. On a do over, I'd look for a latch that uses the loop like newer cars, rather than the post of the standard Bear Claw. I've torn the seat out of two pairs of britches on that post. Perils of a big butt?
http://www.chuckthetruck.homestead.com/page20.html
