Zotero works with the MIT Libraries' web catalog, Barton, but there's a trick to it. When you're on the list of results screen (not the detailed record screen), click on the Zotero icon in the web address bar to select one or more records to save to your Zotero collection.
Zotero will not show individual titles when selecting which records to import, so titles in a list will be shown as "Display full record." After you import them, the titles will display correctly in your Zotero collection. Subject tags in library records will be saved into the tags field in Zotero.
Zotero makes it easy to view the article for a citation that you have saved in your Zotero collection, but there is a setting that you can adjust to make it more reliable from off campus.
To set MIT as your favorite library, click on "actions," "preferences," then in "Advanced," enter "https://sfx.mit.edu/sfx_local" as resolver, version 0.1.
Zotero may automatically add MIT proxy access by inserting "libproxy.mit.edu" into the URL of all MIT web addresses. This feature is handy when you're accessing a lot of databases from off campus, but you might not want it on all the time. To change the settings for this feature, go to Zotero, "preferences," then "proxies," and check all of the boxes, and delete any listed MIT proxies.