OK, first if your tires are at 2/32nds, that is the legal minimum in many states. It is recommended to replace tires at 4/32nds for wet climates, and 5/32nds if snow is involved.
So you are well advised to get new tires ASAP!
Second going from 60 to 65 series is going to change your rpm's by 3.2%. So if your car is going 2000 rpm at 60 mph, the larger size will change this to 1936 rpm - which isn't a lot of difference.
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