Palladin,
You do NOT want progressive lenses for shooting. They will cause you to string your shotgroups vertically. You want single strength lenses. Sorry to let you know this after you dumped the money.
The issue with poor vision is not that you can't see the front sight, it is that you cannot see the front sight consistently. If your eye is straining to see the front sight, your eye muscle will try until it tires and gets exhausted, so this means you can see the front sight better in the morning, and less well in the afternoon.
Drifting focus means the width of the blur line that you see around the front sight changes. When the blur line gets wide, the front sight looks fat, and your brain has to estimate where the edge of the sight really is. Interestingly, this does not typically hurt you in windage estimation, since there are two vertical edges to the front sight, so your brain can estimate the symmetry of if the target is balanced between them, regardless if they are sharp or fuzzy, thin or fat (as long as they are both equally fat). In elevation however, you only have one horizontal edge on the top of the front post. As that edge gets skinny/fat, your front sight looks taller or shorter, so you start holding high or low to compensate for where you think the top of the front sight is, and string your shot groups vertically.
With progressive lenses, your focal point changes gradually from the top/distance part of the lens to the close-up part. When you aim, if the glasses are not exactly in the same spot, if you tilt your head slightly differently from one shot to another, or if the glasses slide down your nose slightly, you will get differing focal points from shot to shot, which will change the effective height of the front post from shot to shot ....
If you want up-close, much better is to get true bifocals with a line in them.
Art