If this job is something you really want to land (sts), I would consider investing some $$ in a 737 sim session.

Even if it's not an -800, just getting the feel of a jet transport, the basics of pitch/power, glidepath control, etc. would probably be worth it. Having your first jet sim experience be in an actual interview eval seems unrealistic.

With all the type rating mills out there catering to SWA wannabees, I can't imagine it would be too difficult to find some 737 sim time for a reasonable price. You may want to try Albie at Emerald Coast Consulting. He does sim and interview prep.