Minha Gedola of the Sixth Millennium - When Is It? Today?

Well, yes, according to one way of looking at it.  I already mentioned that it fell out on 24 Tamuz according to Rav Fish.  That's today.

Minha Gedola is 20 5/6 years after Hatzot (Rosh Hashana 5761 5751). There are a couple ways of calculating five-sixths of the year:
1) Calculate regular year months:  Even though this year is a leap year, we go by the months of a regular year, so the 11th out of the 12th month begins at Rosh Hodesh Av.
2) Calculate days:  384 days this year.  Five-sixths of 384 = 320.  320 days from Rosh Hashana is today (24 Tamuz - July 26th).

According to this opinion, today should be the end of the exile.

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As an aside, it is interesting to note that although the Shulhan Aruch prefers one to pray Minha Ketana over Minha Gedola, Rav Ovadia Yosef and his son write that it's better to pray Minha Gedola with a Minyan than to pray Minha Ketana without one:

ב מי שאינו משיג מנין לתפלת ''מנחה קטנה'' ויש לו מנין רק לתפלת מנחה גדולה, עדיף להתפלל לכתחלה מנחה גדולה, ובצבור, מאשר להתפלל מנחה קטנה ביחיד, וכן ראוי להורות. [ילקוט יוסף, ח''ג דיני ברהמ''ז וברכות עמוד תרלט. ירחון קול תורה חשון תשס''ד עמוד נז].

I saw elsewhere that even though we (especially Sepharadim) usually follow the Shulhan Aruch's opinion, the Minhag was to be lenient like the Zohar in Parshat Hayei Sarah, which allows one to pray at Minha Gedola.

May Hashem similarly be lenient upon us.