Okay. I see a few things.
The vast majority of the lost traffic is from local (LA, San Fran & San Diego) locations. People searching for "car insurance", "cheapest car insurance", "cheapest car insurance California" and other similar keyword phrases. You no longer have a page on your site optimized for those terms so you're not showing up in search results.
It looks like you might have auto as a menu choice under "insurance items", but...
(1) It's hidden behind your site logo when the drop-down menu appears so visitors and search engine spiders can't get to it. It IS indexed. (I see it in your sitemap and when I do a site command.)
(2) On your old site, the home page was optimized for "Cheap Car Insurance in California". Now you're tending to use the term "auto" more than "car" and you're also not using the word "cheap" and "cheapest".
Two other observations: duplicate content and drive-to-learn 404.
(1) You've got a lot of duplicate pages on the site, e.g.
http://www.shiftins.com/blog/7-sins-car-insurance-buyers-make/
http://www.shiftins.com/blog/7-sins-car-insurance-buyers-make/www.shiftins.com
(See how the domain name is appended at the end of the second URL?) The later is redirected to the former, but it means you’ve got crawlers wasting a lot of time trying to index duplicate content and you're diluting your SEO equity. Of 269 pages, 267 are redirected duplicates.
(2) The drive-to-learn scholarship page is driving a lot of good traffic. But there appears to be a missing page (below). Visits to the 404 page stopped around the 19th, so you may have fixed this already.
/404.html?page=/content/insurance-program-application.aspx&from=http://www.shiftins.com/drive_to_learn_scholarship
I suggest trying to fix these things to see if it makes a difference. I also highly recommend the other item we talked about - indexing and optimizing the blog.
Your bounce rates, time on site, page views and conversions all appear to have improved since the new site was deployed. That's great!
If you want the list of queries that were driving impressions before the conversion (and now aren't), email me (so I get your email) and I'll pass them along.