Last weekend I was around two riders who both were riding new'ish purchases. One was a VTX-1800 and the other was riding a Yamaha 1900. One rider had moved up from a Honda 1300 and the other previously owned a 1100 V-Star.
Watching from behind I noticed that on several stops both would ocassionally tip the bikes when making normal stops. No drops but it did look a bit precarious.
There's a bit of a change in braking technique that most folks who ride big bikes use that may be worth knowing if you ever decide to move to a really heavy bike or even test ride one. A VTX-1800 weighs in at around 800, I imagine the Yama is a bit more, my HD Ultra is 880 lbs wet and GW is typically a bit over 900 sitting on the curb. When these bikes get to tipping, things can get out of hand pretty quick and if you put a passenger on the back, well it is a whole different game. So being able to stop straight and straight up becomes a priority.
The BRC will tell you to use both brakes through a complete stop. Normally that works peachy. But what a whole lot of folks do on bigger cruisers and tourers is when the bikes gets below 10 mph or the last several feet is use only the back brake. This keeps braking inline with the frame, helps upright the bike a bit and also helps overcome those nasty pavement imperfections that can move the front tire out of alignment and thus tip the bike. Keep your eyes up and straight ahead.
Now before someone starts screaming, this is for planned, geezer rider type stops and not running up on a light or stop sign and slamming on the brakes. You have to be going slow enough that you aren't going to skid. Skidding is bad, ok? But so is dropping a bike if the front tire is out of line and you are on the front brake.