Eskimo Spy - Most of the people on the site brew outdoors with no problems whatsoever. As for debris blowing into your pot as long as your not getting huge chunks of stuff you should be fine.
Now, during cooling and when you transfer into your fermenter that is when you want to take some extra precautions. I use a lot of santized tin foil to cover openings during this time and I also carry around a spray bottle of no-rinse santizer such as idophor or star-san.
Coming to fast boil is not as important as a good boil, IMO. You want a good vigorous, rolling boil and if your electric stove achieves that and you are o.k. with waiting to come to boil than stick with what you're doing. If you have the equipment to brew outdoors, whether its extract, pm, or ag, I say take it outside.