I defined the family as, in it's most standard terms, a man a woman and their children.
So you do mean a "nuclear family", as I described it. But you DO include the entire world, and all time periods. OK.
That definition of family excludes extended and complex family arrangements of many types found throughout the world, going back as far as you can find references to anything that could be considered a "family". Some form of extended familiy is considered the basic family unit in at least as many time periods and cultures as nuclear families (if not more so).
if the entire history of all mankind stems from this one fact, that it takes a male and a female to create the next generation of life
Yes. And until modern science introduced other options, gay persons typically took opposite-sex parters for that purpose if they wished to procreate.
it is also logical to say that the gay lifestyle is opposite of what nature intended
You might take a moment to do some research into homosexual behavior in animals. The results might be suprising... it is incredibly common. If nature didn't intend it, nature is failing spectacularly.
Once we have come this far, we realize also that all government had it's origins in the family unit. The first government, the first society, was the family unit as it is traditionally thought of with all of it's various modes, variations, and historical distinctions.
True up until that last bit, where you get murky. The first/smallest societies are extended families. (When describing societies, I've usually seen that type of unit referred to as a "band".) Which is in fact a traditional family unit... but not the one you defined. This type of organization is so universal that it can be found in most social animals. (Coincidentally, the category of animals in which homosexual behaviors are most common.) The smallest societal unit that seems unique to humans is usually called a "tribe".
I suppose you could argue that the nuclear family is in turn the starting point of any extended family. But if you look at how humans lived as far back as we can tell, you'll find that they most often lived together in larger groups than single nuclear families... they lived in bands/extended families. Smaller groups were simply too dangerous, and too difficult. It was a good way to increase your likelihood of getting killed (by animals, another band, or whatever), and a higher probability of failing to raise offspring to maturity.
Whether you like it or not, the society we have, have always had, is built on the family as the foundation. America is a family on a grand scale. Our system of government is a complicated outline of the simple family unit.
Absolutely. But the basic societal unit is the extended family. In which you can find adults both "married" and "unmarried", with offspring and without, and of course children. And experience should tell you that within every extended family can be found a few oddballs.
As for the "Hitler" poster... give me a break. You lose. Go home.