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You need to wrap this code inside <form> tag with specific action, try this 

<form action="{$urls.pages.cart}" method="post" id="add-to-cart-or-refresh">
  <input type="hidden" name="token" value="{$static_token}">
  <input type="hidden" name="id_product" value="{$product.id}" id="product_page_product_id">
  <input type="hidden" name="qty" value="1">
  <button class="btn btn-primary add-to-cart" data-button-action="add-to-cart" type="submit" {if !$product.add_to_cart_url}disabled{/if}>
    {l s='Add to cart' d='Shop.Theme.Actions'}
  </button>
</form>