While Evans did not state that this material will definitely leach into your compost, I recommend you remake your bin with materials that you can be sure are safe.
The aerobic organisms in compost need oxygen to decompose organic matter. So bins that readily allow air into the pile are best, Evans says. Consider using recycled wood pallets or metal fencing to enclose your pile. There are also manufactured bins made of plastic designed to allow easy aeration. Compost piles don't need to be enclosed—so it's okay if you want to stop using a bin altogether. Whatever you choose to do, I applaud you for being a responsible gardener and questioning the safety of materials used in and around your garden.
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New for your e-reader or tablet: Compostology 1-2-3.