Dunno, if Verizon DSL is available in the surrounding neighborhood, why it should take that long. Can't think of any good reason it should. I s'pose its possible the copper connecting your residence to the phone system needs upgrading - possible, but not real likely, even less likely if Verizon also is your telephone provider. Assuming the local wiring is up to snuff, "turning on" DSL should more or less amount to simply that, turning it on, whether, depending on the specifics of the system in use, that involves flipping a switch, moving a jumper, or just (as is quite common) a few clicks on a keyboard. You might consider asking them why; only they know.
Now, frankly, I wouldn't worry too much about getting busted for the sorta piggybacking you're doing, especially if the signal you're snarfing belongs to a user functionally unable to tell you're there. However, if your bandwidth useage (any connection has only so much bandwidth) impacted that user's service sufficiently to cause that user to ask his provider to look into why his system from time to time suddenly seemed unacceptably slow ...
On the other hand, try to tap into my wireless network, and, depending on my mood, you could wind up getting very surprised ... and very inconvenienced ... I can be real mean to a computer I can connect to, if I wanna be