You can find more information about the Dunblane massacre on my web site as well as a history of British gun law.
The gun ban has not produced any marked change in crime as it has effectively been illegal to keep a firearm for self-defence since about 1962. In theory it is possible to be licensed to carry a weapon, known as a Personal Protection Weapon (PPW). However, responsibility for the issue of a permit is down to the Home Secretary, whose official policy is not to issue them in the mainland UK (there are quite a few in NI). Salman Rushdie couln't get a PPW even though he is under sentence of death from the Iranians. I would point out there has been no legislative change to bring about this state of affairs, this has resulted from the broad and sweeping powers conferred on the Home Secretary by the 1968 Firearms Act. All of this has come about via official policy not legislation.
It has had no effect on the rate of burgulary of occupied premises (home invasions) which currently run at about 3 times the rate of the USA; note it did so even before the ban. Street crime is also more common in the UK. This is as a result of our converging crime rates; the US has been reducing for about a decade whilst ours has climbed gently since the '70s. And when the differences in the methods of compiling homicide statistics are considered the margin between US and UK rates is not as great as many would have you believe.
Since the gun ban there has indeed been an escalation in the criminal use of guns. This is primarily due to a turf war between Yardie gangs who control the crack trade, not as a direct outcome of the ban. You can find details of these on James McNair's web page (linked from my introduction). Jill Dando was a well known figure in the UK and was gunned down on her doorstep earlier this year. What you probably wouldn't have heard about was a man ran amock in Kingston (Nr London) armed with a handgun, fortunately no-one was killed and he was shot by the police before he could do any real harm. The nutters still have no problem getting hold of weapons.
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"Quemadmoeum gladius neminem occidit, occidentis telum est."
("A sword is never a killer, it's a tool in the killer's hands.") -
Lucius Annaeus Seneca "the Younger" (ca. 4 BC-65 AD).