This might be of interest to someone. How to repair broken plastic lug using a soldering iron and a cable tie. Delboy's Garage, Plastic Welding panel lug repair. - YouTube
certainly helpful as a starting point but be aware - not all cable ties are compatible with the fairing you are repairing (been there, done that) so best experiment or you could find you are weakening the joint not strengthening it.
I've spent most of my life experimenting with making my joints stronger Chris Good advise, am awaiting my Weller gun so as I can get stuck in soon.
Probably about the most time consuming and crudest method i have ever seen. 99% of the plastic on bikes is ABS, including Ducati. The best way of repairing something like a broken lug is to use ABS solvent weld. It can be found at any plumbers merchant and is used by plumbers to weld/glue ABS waste pipes and fittings. All you need to do is clean both sides of a joint, apply a line of solvent weld on the lug, hold it tight against the fairing and in few mins it will have gone off hard. It makes a permanent repair and will be as strong or even stronger than it was before the break.
Ive repaired no end of bike bodywork in the past and car bumpers and i find the soldering iron method works well, although i use a braising iron which has a wider tip. If you take your time over it you can do a good job and its usually pretty strong. However if i remember rightly when I repaired my 748`s bodywork, the plastic seemed to be slightly different so i used a hot air gun to melt & bend it back into shape. That with a little filler on the outside & sanding down did a really good repair of it.
Ducati bodywork has changed over the years and not all of it is ABS, so if you try and use ABS welding rods they don't work. In the past I have used old panels that the same material but were beyond repair and cut bits out of them to insert into holes or whatever and then stitched them up with a heat welding gun. By far the worst bodywork to try and repair is the very early Ducati 748\916 panels etc, they are red plastic and they become very brittle with age and just shatter. I had top fairing break into 4 pieces after just tipping over on the floor