Place a sheet of parchment paper in a large baking sheet.
Layer the phyllo dough one at a time on top of the paper.
Brush olive oil on top of each layer of phyllo dough.
On about the 5th or 6th layer of dough, sprinkle half of the goat cheese crumbles.
Continue to layer and oil the dough.
On about the 10th or 11th (just guess) layer of the dough, sprinkle the remaining half of the goat cheese sprinkles.
Finish layering and oiling the remaining layers of phyllo dough.
In a medium mixing bowl, by hand or hand-held mixer, blend the ricotta with all cheeses, eggs, onion, garlic, basil, chives, and a shake or two or salt, and a large pinch of pepper.
Spread this cheesy mixture on top of the phyllo dough, leaving about an inch from the edges without the mixture.
Randomly place the tomatoes on top of the cheesy filling mixture.
Sprinkle with more chives.
Place aluminum foil around all edges to prevent burning.
In a 375 degree oven, bake for 1 hour until golden. If the tomato/filling area has not turned golden, then turn on the oven broiler for 5 - 10 minutes, keeping an eye on the tart so that it does not burn on top.
Allow to rest for 15 minutes.
Slice into preferred size pieces. Do not serve with the parchment paper underneath!
Garnish with fresh basil leaves.