I am a little late, but would like to suggest that 14 to 18 days will be "tight" for all three countries, unless "somewhere in Egypt" just means a couple of day visit to Alexandria or Cairo or the Sinai Peninsula. I don't know about weather in Jordan or Israel in September, but Egypt will still be hot.

Egypt is a personal favorite. Israel and Jordan are still on my list. The country of Egypt alone warrants at least 14 to 18 days.

Enjoy your trip. I am so glad to hear of people who still go. The attacks are so random, and, as someone aptly said, one could be hit by a bus in one's home town! I live in Chicago, so I consider that a greater risk than travel to almost anywhere!

Lisa in Chicago