I wear glasses.

Many guys who where glasses have the draw too long and that allows them to look through the peep more in the center of the lens. For most, when the draw length is good, you will be looking through the frame or wire -- as in my case too.

The thumb wrapped around you neck is a very poor anchor point will will not help your shooting.

When I hunt, I use a No-Peep. When I shoot open class, I remove my glasses (my eyes are not that bad anyway).

George Ryals (Martin Pro) showed me a little trick with glasses -- if you have the kind with separate little pad that rest on your nose (not a once piece plastic frame) you can shift your glasses to the left and put your nose between the nose pad and frame of the right lens. It looks goofy, but for shooting your 3 or 5 shots indoors or your 1 at a 3D, it works great. Just shift it prior to shooting and shift it back when you are done.