对，前面那辆车应该等着让对方的。

纽约州的DMV的驾驶员手册叙述得比较明确：

If drivers approaching from opposite directions reach an intersection at about the same time, a driver turning left must yield to approaching traffic going straight or turning right.

Source: 

http://www.nydmv.state.ny.us/dmanual/chapter05-manual.htm