Lots of questions.
First of all, even with an 80Hz xover point, depending on the slope, you'll still want something that will do 40-50Hz pretty decently. Most xovers are only 12db per octave so at say 90db for the main signal, at 40Hz, it will still be trying to do 78db.
Second, yes there can be issues with running the fronts full range and duping that into the sub(s). Generally, when you run the fronts full range, only the LFE channel goes to the subs. Also though, your sub is much more flexible in location than the mains. Getting good smooth bass in a room takes some effort - part of which is properly placing the sub. If you get 60-80Hz up off the mains and into the sub you get:
Less strain on the main amp and speakers allowing more 'breathing room'
Better control of bass/room interactions.
Less chance of cancellations between frequencies from the mains and the sub.
It can be done either way - these are just some points to ponder. Personally, I have a bit more freedom in speaker/seating placement than many so I run my xover at 60Hz for HT and 50Hz for music.