So, how long should I have to wait for oil based paint to dry? I've had this drying for about a day now and it's still "peeling" if it gets rubbed with any type of force....
Depends on the exact paint and what you painted on, but oil paints take a lot longer that water based. When I tried an oil enamel, I had to wait 48 hours between coats. I didn't get your "peeling", but it felt "dry to the touch, but sticky to the press" for a week or two. Often when you use oil paints, you can still smell the paint drying for a
month, even when the paint feels "dry to the touch".
Since you are getting peeling, maybe the paint isn't sticking to the primer (use primer, unless painting over old but not peeling oil paint).
Wait 48 to 72 hours. If the paint still peels, do as snaaake says.