I also wonder about chins and dips on 5x5...
I've done a lot of HIT with chins and dips and am very strong in both (85 lbs weighted chins x 4 and 115 lbs weighted dips x 5 and i'm about 160 5'11) I feel like in those 2 areas I have fantastic results, but not so much in squats (145 x 20) or dedlifts (245 x 15) (not bad) but I want to be much stronger in both those areas. also- I'd like my military press to be stronger and my bench is kind of weak despite having developed a strong dip- I switched to dips a while back instead and my bench has gone down since... so I'd say it's not a viable replacement, at least not for me. But benching heavy never helped my dips, either, so...
I want to try either the 5x5 or the Starting Strength routine, I'm sure they're both great, but I don't want to neglect dips and chins... I'd like to keep pushing them as hard as the other main movements, as I think they are just as valuable.
I thought maybe I'd add chins to the deadlift day and dips to the bench day... but I really want to give the right routine a good shot and don't want to screw it up, because I also like conditioning and crossfit type training and will be putting that in check while I do this, and don't like to go too long without that, don't want to waste time, and like being super lean. the results I'm after are like what Martin Berkhan suggests- rating your lifts against your bodyweight- so actually would be happy to keep my body mass as low as possible and just increase strength as much as I can- like I have with chins.
so, like the original post- someone let us know if adding chins and dips (as another main lift and not just supplimental) to a stronglifts or starting strength routine is an ok thing to do without screwing up the program.
btw- I also do the raw milk, whole food thing- I love that shit- don't know where you learned it but I got it from anthony bova's spartan health regiment, I'd highly recommend his material to anyone- and he also suggests similar workouts to 5x5 and Starting Strength (but pushes dips instead of bench and chins instead of rows)... but not squats 3x a week... I can't wait to start.