I think it makes economic sense to put an LPG conversion in if you are doing a lot of miles. I don't do a lot of miles, so it isn't worth it for me.
However, I've never been convinced by it, if you know what I mean. I had an LPG car about 30 years ago when I lived in Holland, where virtually every filling station had an LPG pump. OK, my car was only a 1.6l job, but the drop in power when running on gas was huge. I know the technology has moved on, and that the power drop wouldn't be all that noticeable on a big V6, but, as I said, I'm still not convinced.
I worry about carrying a big tank of explosive around - OK, petrol is probably just as dangerous, but the tank is invisible - out of site, out of mind. I was once caught in one of those big motorway pile-ups in fog and an LPG car caught fire - it was very frightening indeed, but then, I've never seen a petrol car go up, so I can't really compare. Anyhow, I'm not happy about travelling in LPG vehicles.
Not trying to put you off or anything 
My last car was a Classic Rangey with an ancient mixer type LPG system. I ran on LPG all the time so adjusted the timing to suit LPG, which would just run OK on petrol (but not for too long for fear of engine damage) and found that there was more power on LPG than Petrol, even with the timing correct for petrol! With the modern, multi-point sequential systems there is virtually no loss in power whatsoever. There is the slight drop in economy, but the figures speak for themselves... LPG is definitely a viable option for anyone who travels more than 10k/year and intend to keep the car for a few years.
I do about 25-30k and plan to keep my car for a good couple of years, at least, because I think it's possibly the best car I have ever owned! I'm budgeting around £1000 for the installation (DIY), which allows plenty of scope for having to replace parts which are getting tired

, and getting the system certified. I can recoup this in around 10 months, again allowing for problems, so I know that within a year I'll be saving money!!

As for fire risk... LPG tanks are much stronger than petrol, especially as petrol tanks are now made from plastic!!! IIRC LPG tanks are tested to 10 times the strength of petrol. The chances of an LPG tank rupturing are so minimal it's virtually non existent. Especially as all multivalves have a pressure release vent which will gently release vapour to ensure the tank doesn't over pressurise. Petrol tanks, however, just melt and keep the fuel flowing... Trust me I know...
Got called to a car on fire by the police, to recover it off the motorway, and ended up having to lift the car with a HIAB to allow the fire brigade access to the petrol tank as every time they thought they had the fire extinguished it flared up again!!! The cause was a plastic petrol tank which had melted slightly and ignited the fuel inside!!