The Profile/logout drop menu needs a higher z-index set as it falls behind the expanded mobile "collapse" menu.
BTW, the new changes, today, to the logged-in top menu, Customize etc., has the drops now far a part. Bad
We have not reproduced this on other sites, but I know you've got a lot of customization going, which may be conflicting. Thank you for sharing and I'll have our developers take a look.
Allen, looks like the z-index for your menu component is at 999 (which is higher than ours for the improved user menu). You could also add customization that increases the z-index beyond 999 for the user menu component, so that the conflict does not occur.
BTW, it did NOT do this on the actual /search page. Only when using the top search box from another page, the resulting search page showed up with problem.