You have a third alternative, which is to use C++ templating and make the variable which is used in the if/switch statement a template parameter. Instantiate each version of the kernel you need, and then you have multiple kernels doing different things with no branch divergence or conditional evaluation to worry about, because the compiler will optimize away the dead code and the branching with it.
Perhaps something like this:
template<int action>
__global__ void kernel()
{
switch(action) {
case 1:
// First code
break;
case 2:
// Second code
break;
}
}
template void kernel<1>();
template void kernel<2>();