Another no
I'm not military though have relatives who've served. No, bombing ISIL in Syria won't help us in the UK. You might have to think about bombing Dewsbury, Luton, Bradford etc. There are too many dim Muslims in this country who think that the rest of us are bent on attacking them, rather than recognising the problems that extremists in other countries, funded among others by wealthy individuals in Saudi Arabia, Qatar etc, are causing their own co-religionists.
We should leave the conflict to go on in the area, while sympathising with the French after those attacks and offering them all additional support short of offensive action on our part. Germany has come up with a more reasoned and measured approach this week, offering non-offensive military support and being publicly honest in talking about the likely length of this involvement (10 years was mentioned by one government minister). It may be that the US, trying to build a coalition of local states such as Saudi Arabia, Jordan and Qatar, might still be able to pull this off, or that Russia will somehow magically finish the job without the trouble they ran into in Chechnya or Afghanistan. But sorry guys, I really don't see any good that can come from British military intervention limited to RAF bombing.