Huh? Safari is a mostly Open Source application (WebKit/JSCore) sitting on top of an Open Source operating system kernel and core libraries (Darwin, OpenSSL and a bunch of other UNIX/BSD Open Source stuff).
Opera is NOT Open Source.
Opera Mini in particular is going to be pretty bombproof since it's running on Opera's server and proxying to you a compressed binary image in Opera's own format. If there's anything going to go pear shaped it's at the server end.
History has also shown that the Open Source systems (Linux, OSX...) usually are less vulnerable to attack than the closed ones (Windows, Symbian in the past)
Stop spreading FUD.
To be clear, an open system (which was what was being discussed in the post you're responding to) is a distinct concept from an Open Source system. The two can be present simultaneously in the same box, or they can exist independently from each other.
For example, Microsoft Windows is an open system, in that Microsoft does not exert any control over the user's choice to run whatever applications she wants, from whatever author she chooses. Same goes for the desktop version of Mac OS X, various flavours (but not necessarily every one) of Linux, Solaris, FreeBSD, etc...
On the other hand, an embedded system based on, for example, FreeRTOS has, by definition, an open source operating system. But it is a closed system in that the entire system (kernel, drivers, application tasks) are typically statically compiled into a single monolithic binary. In order to introduce any new arbitrary processes, you basically have to recompile everything from scratch, essentially producing a different system than the one you had in the first place.
Alternatively, you may have operating systems that are open by design, but closed in application. For example, Windows XP Embedded is based on an open system, Windows XP. But certain installations may not include many of the userland utilities unnecessary to the intended task of the embedded device (such as "explorer.exe") which make it impractical to startup arbitrary applications.