A robust online discussion, regarding deliberation on sterlisation of gowns and instruments, and environmental aspects of such practices can be found at the Canadian Centre for Pollution Prevention (CCPP), both here and here, with one doctor saying she uses a grapefuit-extract soap for non-invasive applications.
More directly addressing your question of how to green a medical practice is Ecologically Sustainable Medicine, who promote "effective healing and wellness practices that do no harm to people and the global environment." ESM have some short PDFs on their site, which will help you define what an eco-friendly medical practice might entail. In a similar vein is an article by Dr Shiroko Sokitch from the Heart to Heart Medical Centre discusses some of the endeavours they undertook in setting up a greener clinic.
But the best example we could find in a quick trawl of webworld goes by the very clever and funky name of the Transcendentist, whose claim to fame is having the "first eco-friendly dental office in North America." Their wallpaper is from reclaimed paper pulp and bark and floors of natural linoleum, with reclaimed timber furniture. "We use only steam-based instrument sterilization, which contains no harmful chemicals. We installed a special filtration system to allow environmentally sound disposal of old mercury fillings, to prevent pollution of our water system. first eco-friendly dental office in North America. We use digital imaging (not traditional x-rays), which means 75 to 90% less radiation for our clients and no toxic x-ray development chemicals. They wash cotton patient bib on-site with an "energy efficient washer and dryer using natural detergents and disinfectants". And much more besides. Well worth a look.
If you aren't yet ready to be as full-on green, as the Transcendentist, maybe try the range of cleaning products developed by EcoLab for the healthcare industry. Ecolab has a comprehensive environment policies, where they note they've reduced consumption of non-renewable chemical feedstock by about 30% in the past decade and pioneered concentrated 'solid' detergent which resulted in up to 80% less packaging.
Summit Lighting are one company that appear to have targeted the medical industry for energy savings, suggesting that their line of products can reduce lighting load by 12 to 75% depending on the application.
If not steam sterilising kidney trays, and similar containers, maybe you could consider the likes of biodegradable options from Ecomatrix and EcoPack, who both claim strong environmental attributes, being derived from agricultural fibres. The latter seems to have more data to back up their case, being both microwave proof, while meeting international standards for compostability.
While in no way comprehensive Curtis, we hope these leads might encourage yourself and fellow medical practitioners to continue investigation of the greener options for your clinics. Thanks again for the question.