if chance of survival and reproductivity (I think I just made this word up it means ability to reproduce) have no discernable (predictable) influence as to which alleles propagate throughout a species, then it can not be said that fitness (read: relative survival/reproductivity ability) has any influence on allele frequencies.
I think you're a bit confused. Fitness is a
result of suites of characteristics posessed by an organism in interaction with its environment. Alleles for particular characteristics become fixed over time (read: over generations) in a population based on how well they aid the survival/reproduction of an individual organism which is a member of that population in comparison to members of the population who DON'T posess the trait. There are other factors, of course (like epigenetics, chance, and drift, to name a few) but in the main that's it. It is (currently, at least) totally impossible to predict what the effect of a novel mutation (for instance) will have. There ARE mathematical formulae - the simplest of which is the Hardy-Weinburg Equilibrium equation - to show this. My suggestion is that if you're really interested in pop gen, to check out a text book from the library on the subject. Try Hedrick's "Genetics of Populations" or Hartl's "Principles of Population Genetics". For me, the kinds of rules that you are looking for are mathematically opaque (hey, I'm a field guy, not a geneticist). SFS on this forum might be able to provide you with better titles.
so (without predictions and verifications) there is no connection between "fitness" and alleles, and in turn there is no connection between natural selection and allele frequencies.
You've made this assertion several times without follow-up. Please provide a rationale or argument that shows why the kind of predictions you are asking for are either necessary or even a part of evolutionary theory. The connection between fitness and alleles is as I've stated - fitness is a measure of the effect of suites of alleles in relation to the environment. Natural selection effects allele frequencies by differentially effecting the individual organisms that carry the alleles.
actually any of the "driving forces" (sexual selection, natural selection etc.) become irrelevant unless predictions can be made that connect those driving forces and allele frequencies.
Please back up how you derive this connection.