Well, there were a lot more than two points of view, on almost every single issue.
The initial debates in the Constitutional Convention focused on whether the Presidency should consist of one or more persons. Some delegates believed that only a single executive would be able to act decisively and quickly. Others, however, feared placing too much power in the hands of one person.
Delegates were more sharply divided over the best mode of selecting the President. The initial debates focused on whether to have election by the people directly, by the state legislatures, or by Congress.
The debates over the appropriate length of term for the president were even more protracted because they involved the questions of whether the president should be impeachable, and whether the president should be eligible to run for re-election. Some delegates favored a longer term (6-7 years) for a president who was impeachable and ineligible to run for re-election. Others favored shorter terms (2-3 years) for an unimpeachable president who was eligible for re-election.
Boiling all this down, the two general voting blocs among the framers were those who wanted a strong independent and nimble executive and those who feared they were creating another monarchy.
