Okay. This is a bit of a confusingly worded question, but I'll try to answer it as best I can.
First, it's very easy to confuse the sedative effects of benzos with the anxiolytic (or antianxiety) effect. One of the most common complaints with benzos is that patients feel the sedation wear off - because tolerance to that develops very quickly, and then have escalated panic or anxiety because they assume the medication isn't working - ironically creating more anxiety than a particular dosage can handle. Tolerance to the anxiolytic effects doesn't develop at all, or if it does it's over the course of years.
Your instinct about switching to a longer dosage is a good one. Short acting benzos, like Xanax, are good for panic attacks and lower level anxiety constant anxiety. By your account, you're experiencing a constant high level of anxiety, punctuated by panic attacks - which I'll be are provoked by day-to-day stressful experiences during that high anxiety.
In that case, it's better to go with a long acting benzo, one that isn't subject to rapidly wearing off like say, Xanax or Ativan. There are two that are commonly used here - Valium, and Klonopin. Klonopin is the better choice here, because of the slow way your body breaks it down, by dosing the drug two to three times a day you can build a very solid level of it your body, one that does not jump up and down like short acting drugs, and will stay stable even if you miss a dose. It's more or less an ideal drug for constant anxiety like you're describing. So ask your doctor about that on friday.
As for addiction, as it bears mentioning, this really only shows up in certain people who have the environment, and more particularly the genetic risk factors for this - look at your family history, your parents, siblings and grandparents. Have any of them had problems with abusing substances like alcohol, marijuana or opiates? Opiate abusers make up the overwhelming majority of people who are addicted in any relation to the medical term to benzos. If there are people with these problems, you should consider yourself at risk, let your doctor know, and proceed with caution.
Especially for high level anxiety disorders, benzo therapy is more or less the gold standard, used for decades. For lesser anxiety disorders, SSRIs are now standard. One retrospective done in the US in the mid to late 90s established that there were about 5 million people who were stable on benzo therapy for a period of greater than five years - without increasing the dose, without abusing the drug, without any real problem with it.