Please keep in mind I'm not a professional mechanic or an auto mechanic. I'm a DIY'er who has taken some pictures to show how I did this repair. I also used jack stands as a safety measure.
I finally got around to fixing the wheel stud today on my 2009 vibe. I was waiting for this to come in the mail. Its a universal ball joint separator. It was $30 on ebay which seemed like a good deal. I used this to press out the broken stud. This tool seemed like a better method than hitting it with a hammer. The main thing I was looking for when getting this was to make sure it had a 19 mm opening for the stud to press though.
Im doing a little fast forward to this point where the caliper and the caliper bracket have been removed. I squirted some liquid wrench in the holes on the rotor and popped it off with two appropriate sized bolts. The exact size of those escapes me at the moment but I believe they are 1/4" diameter at the threads. Also, some marks were made on the rotor with a white enamel paint marker so I could remember which way to put it back on. Some people prefer to make matchmarks by putting scratches on the metal instead of paint. Vibes of other model years may not have these holes for removing the rotor.
The ball joint separator was used and so was a generous blast of liquid wrench. the tool worked really well.
the new stud is frosty because I've been keeping it in the freezer.New stud in and ready to go, I had it in the freezer because this is supposed to shrink it a bit and help it get pressed in.
Here is the sacrificial nut and set of washers that were used to press the new stud in. The nut was used with the flat part against the washers. The stud and the hole also got a generous blast of liquid wrench before starting. I had to find something to hold the hub while tightening the lug. In my case that ended up being the jack handle, also I threw on some wheel lugs to protect the other studs that were being used to prevent it from spinning.
I stopped when the end of the stud appeared to be flush to the back of the hub.
So that's the gist of it! The caliper was put back together and torqued to spec. All the liquid wrench that was getting on the studs and rotor was cleaned off using some cleaner. Also I had to pump the brakes before going anywhere to compress the caliper back because it was compressed using a 6" C-clamp and then taken apart to get the rotor off. The method of doing this is to basically, keep pumping the pedal until you get resistance back but don't let the pedal ride to the floor. Thanks for all the feedback and info from all the genvibers on this thread.I also had some very good help from Nathan McCullough's expert village youtube videos. His videos are pretty good you might wanna check out a few. The torque specs and some of the general techniques to do this were from the 09 vibe s-car service manuals.