While Squelch Tabs and Accordions loads 1.9.1 by default, I can see from your site's page source that my plugin is NOT what is loading jQuery - another plugin has overridden my code and is asking the Google CDN for the latest version of jQuery. As such your site will always be on the latest version of jQuery, regardless of whether your other plugins work with that version or not.
For this to happen something has to be dequeuing jQuery and queuing up
jquery-latest.min.js from the Google CDN; My money would be on TheThe Image Slider, as TheThe Tabs and Accordions had this exact behaviour too. TheThe have a habit of loading jQuery in COMPLETELY the wrong way, breaking WordPress conventions, and it leads to these kinds of problems.
First of all I'd suggest going to Appearance > Tabs and Accordions, and setting the jQuery version to 1.8.3 as it's clear that your theme cannot handle 1.9.1 (the default). If you disable all other plugins at this point then I am confident you will find that Squelch Tabs and Accordions now works as you'd expect. Once you've confirmed that Squelch Tabs and Accordions is playing nicely with your theme you need to work out which plugin isn't.
The usual method is to disable all plugins and then re-enable them one at a time to find the source of the issue. I'll go ahead and say it again though: I think you're going to find that it's TheThe Image Slider plugin that's causing you this pain.