What is likely to happen is Congress will finally pass the Marketplace Fairness Act which requires states to comply with the Streamlined Sales and Use Tax Agreement before they can collect the sales tax. 23 states already fully comply with the agreement.
As part of the agreement those entities without a physical presence in the state pay only a single state agency all sales tax and not have to pay tax to individual localities within the state. For each state the type of products subject to tax and the rates of tax on them are uniform across the state.
The states are also required to make available free of charge databases with boundaries and the tax rate on goods within each boundary. States must not hold any businesses liable for the under or over collection of taxes based upon any errors in their database. In addition the Streamlined Sales Tax Board of Governors certifies service providers. If a busines uses a certified service provider they are not liable for under or over collection of taxes based upon an error by the service provider. There are currently 7 certified providers. The certified service providers provide data regarding what taxes need to be collected on a transaction, will collect the tax on behalf of the business and submit it to the state on behalf of the business. Many e-commerce platforms already integrate with one or more CSPs. I imagine those that don't today will quickly do so or if large enough become a CSP themselves.