Most, if not all aspired to be politicians. .
Why do you say that? Do you have some proof of that?
Of the ones I mentioned...the generals literally had each party come to them and ask them to be their candidate for President, none of them actively pushed for the nomination until they were begged to run. Hell, Taylor wasn't even sure which party he'd run for.
Lincoln was a happy lawyer until the Kansas-Nebraska fiasco inspired him to run in 1856 for Senate. He was President just 4 years later. Obama became so popular in Illinois that his colleagues in the legislature pushed him to seek a Senate spot. Kennedy famously wanted nothing to do with politics and was forced in by his father.
Obama is really the only one you could even argue "aspired to be a politician" and I think he'd probably disagree with you there.
So how again did "most, if not all aspire to be politicians?"