The anti-federalist felt that the constitution would give too much power to the federal government. They basically were opposed because of what was in it or what wasn't in it because of fear that their civil liberties would be stripped off due to everyone functioning off of the constitution. They more so wanted a bill of rights to proclaim all the liberties a citizen is granted to avoid this.
The Senate must approve of most of the presidential actions. The Senate could reject many presidential actions too