I want to make everyone pay the same prices, regardless of VAT

This is not strictly a VAT compliance issue, and so does not come under the remit of this plugin (suggestions that can be found on the Internet that charging different prices in difference countries breaks non-discrimination law have no basis in fact). Nevertheless, WooCommerce has an experimental feature which is not exposed in its settings to enable you to do this. You can activate it from the VAT compliance settings (in the ‘Settings’ tab). Note that the only effect of the setting is to turn on the feature in WooCommerce core; if that feature does not work, we cannot provide further support for it.

Posted in: WooCommerce EU/UK VAT Compliance