Basis information, email and full name are always viewable and changeable from the Preferences page of stock Trac for the logged-in user.
Nudge the maintainer of UserManagerPlugin, if you need the image too, since AccountManager doesn't know anything about the content added by UserManager.
Since both plugins address the needs of admin users, not regular ones, your requirement for profiles being visible to other users is definitely a fundamental enhancement request.
As a side-note: A sane implementation will even require at least one additional permission, something like 'USER_VIEW' or similar. Today everything is still dedicated to 'TRAC_ADMIN' in UserManager. AccountManager has done a little bit better in this respect since it's earlier days, because there are already multiple permission 'ACCTMGR_CONFIG_ADMIN', 'ACCTMGR_USER_ADMIN' and 'ACCTMGR_ADMIN'. I guess, going beyond on this road is just a matter of consequence.?
Please keep me updated, how it goes with UserManager, so I could escalate the case, if this plugin is currently unmaintained, as the commit history suggests.