Status: Not by Shakespeare
This is another one of those quotes that seems to have come up someplace and wandered around a bit until someone put “Shakespeare once said…” in front of it and it stuck. I can find nothing even close to this quote in Shakespeare’s works (hint, Shakespeare only ever used the word “alphabet” once, in Titus Andronicus), nor did I particularly expect to. It sounds more like something off a Hallmark card.
Still searching for an original source, but hopes are not high. A quote this long is typically written many different ways, which makes Googling for a true original difficult.