BB among others we had generals..Andy Jackson,Wm H Harrison, Zachary Taylor, U S Grant, Chester A Arthur and not to be overlooked.. George Washington. Some were less than stellar..and some were indeed, very outstanding.
On the other hand, 26 of 44 were lawyers. Some were not any great shakes..Woodrow Wilson, FDR, JFK, Nixon, Ford, Bush 1, Clinton ..and now the real prize ..Obammy.
That is not to say lawyer presidents were all incompetents, since that list included John Adams, James Madison and Abraham Lincoln.
Actually, previous vocation and Ivy League school counts for little. Martin Van Buren, Wm H Harrison (not graduated), Zachary Taylor, Millard Fillmore, Abraham Lincoln (1 yr law), Andrew Johnson, Grover Cleveland, George Washington and Harry S Truman..were not college grads...and like all the rest, there were good, bad and greats included in that list.
I say again, an honest person with good moral character is the most important ingredient for any president.