I figured it out yesterday right before my op session. I took some small needle-nose pliers as the connectors looked to be in the exact same position as the other turnouts.
So, I squeezed them a little once I popped the rails out. Then, with a lot of swearing under my breath (and praying I wasn't above the rip the rails right off the ties), they both went into place and aren't moving further.
So, if it happens again, I know where to go.
Thanks for the advice, everyone!