Struggling with power requirements for project

Sweet, thanks so much for taking the time to help. I'm not just going to replace the 6V with a 12V, I'm assuming I would need a voltage regulator or at least a buck converter to step the voltage down. I'm very much a noob when it comes to electronics so I'm not sure if I'm overthinking this, but if I use a voltage regulator to step a 12V down to 5V would I not just run into the same issue as before if the problem is related to a lack of voltage? On the other hand if its because the current drawn by the LED strips is too high I'm not sure how to go about fixing it, if I need to redesign the whole circuit.