Just wondering if you can play the videos from your ipod on to your television by using the ipod dock that the philips HTS3565D/37 home theater system comes with?

The owners manual does not say anything about video from your ipod. 
Check the connector from the docking station. if it resembles a headphone jack with only three rings then it is audio only. if it resembles a keyboard connector then there is a chance tho it would need more then 4 pins.