You wouldn't believe the cost of
hardware support.
The addition is usually done using carry-look-ahead scheme [1]. This scheme has depth of O(log(N)) (N being number of bits). For 64 bits it is k * 6, and k is about 1.5. So you are looking at ~9 logical operation depth.
The computation of overflow uses bits from both operands and result. You also have to store that overflow bit somewhere. This means that 1) you have to add logical operations (usually two) to compute it and 2) you have to lay wires to store results of computations. Either way you waste timing resources (logical ops for wider processes, wires for thinner ones).
For superscalar execution you end with another result dependence to resolve and mostly ignore.
In the end you add about 5-10% of overhead of clock cycle time due to constant checking for overflow.
E.g., your request will make all computers more expensive to operate.
I have relatively extensive experience in designing hardware for a software engineer (accelerated video controller for STB, no less, from algorithmic prototype to tests). My modus operandi in that area is that you should do in hardware only what you cannot do in software.
Let's compare SPARC and MIPS. SPARC has status register (hardware support for overflow you asked for) and MIPS doesn't. SPARC lso has complicated register file, but it is out of control path, which is register-register addition, you wouldn't believe. SPARC and MIPS are equavalent otherwise. We estimated operating frequency estimations for ALUs of SPARC and MIPS for 0.13um process and for SPARC it was 400-450MHz for SPARC and was about 500MHz for MIPS, without any tweaking in low level. We have here 10% in speed difference. MIPS would be even faster if we ditch ADD/ADDI/SUB/SUBI instructions (add/subtract with overflow checking).
The same is true for OpenRISC and RISC-V. OpenRISC generates exceptions for any sneeze that may happen, RISC-V continues. Guess what is easier to develop, test and will be faster in the end.
Please, do not add to hardware any functionality you really do not need. You can check for integer overflow statically and generate special code that will generate exceptions if you cannot prove their absence conclusively. This is already done for division by zero for MIPS target (check it out, it is amazing to see difference between -O0 and -03), it can be done for integer additions.
[1] http://en.wikipedia.org/wiki/Carry-lookahead_adder