I would go to Turkey tomorrow if I could. There is nothing dangerous about Izmir, it is a lovely city.
If you are worried about Syria then as the above post mentions it is nearly 1,000 miles away and it would take you 24 hours to drive there!
My husband's family live about 100 miles away from the Syrian border and there is no danger there either so stop worrying and start looking forward to your holiday. Otherwise give me your ticket and I will go instead
We were in Izmir and then Istanbul late May/early June when the anti government protests were happening. We didn't see any trouble at all and didn't even know anything was going on till we had a worried call from the MIL. That all seems to have died down (and was really localised and not wide spread anyway). The others are right, if it's Syria you are worried about, its hundreds of miles away. Go - just keep an eye on the Foreign Office site. It's pretty good in terms of accurate information.