318 Bored .60 over...possible overheating?

When I went to my local auto parts shop, the radiator I ordered was a re-manufactured one that fits a 1970 Plymouth Satellite. The reason I ordered using specifications of that is because the engine came out of that same car.

I may end up upgrading the cooling system because just about from the cam to the heads are not stock on the motor and my HP should be increasing quite a bit from stock.

Thank you very much for all the answers...Much more helpful!