But that said, my framework currently uses MySQL stored procedures and functions, PHP, C under PHP for special stuff, JavaScript for client side logic and CSS for all presentation qualities of a page. So what's another language thrown into the mix to make things go faster?

PHP to the best of my knowledge does not have cython or pyrex.
http://www.cython.org/ Basically a python to c compiler for extensions.
Or psyco
http://psyco.sourceforge.net/A JIT compiler that compiles down to machine language.
It is a lot easier to make extensions with python and cython then it is with PHP.
Fastest language of all is perl. But making extensions with it is a bitch.
Again it depends what u are doing with the language.
Making an extension that uses a C/C++ library for a desktop application is a different story compared to making one that is being used on a webserver.
You are better to get speed increase using techniques like ....
I also am getting a lot more speed out of using mysqli with multi-line SQL instructions
Everytime u do 1 sql instruction at a time, the result have to be converted from C to the scripting language.
A misfunctioning extension can be prone to memory leaks, or memory corruption because of garbage collection done by scripting language. So u could have a buffer overflow caused by an extension.
To be a fuking smart ass, fastest language is ocaml.
http://en.wikipedia.org/wiki/Objective_CamlIt probably knocks the socks off any other language speed wise, and offers garbage collection.
Xavier Leroy has cautiously stated that "OCaml delivers at least 50% of the performance of a decent C compiler"[1], and benchmarks have shown that this is generally the case[2]. Some functions in the OCaml standard library are implemented with faster algorithms than equivalent functions in the standard libraries of other languages. For example, the implementation of set union in the OCaml standard library is asymptotically faster than the equivalent function in the standard libraries of imperative languages (e.g. C++, Java) because the OCaml implementation exploits the immutability of sets in order to reuse parts of input sets in the output (persistence).Ocaml algorithms generally speaking rely heavily on recursion. In some cases algos implemented in Ocaml are even faster then C. Also Ocaml has bignums. So if u tell it to compute the factorial of 200, it gives u the exact number.
Ocaml is used by mainly academia. So if u want to compute shit when u are designing a particle accelerator, probably would be a good language

.
Use the right language for the job.