Change woocommerce tax rate with a checkbox in checkout page

I need a checkbox in the checkout front end that change the tax rate of the order.

This code is a example that i need and it work fine, use a hack to trigger the ajax function that update the totals (explained here https://www.affectivia.com/blog/have-a-checkbox-on-the-checkout-page-which-updates-the-order-totals/)

//=============================================================================
// add tax exempt checkmark
// =============================================================================
add_action( 'woocommerce_after_order_notes', 'qd_tax_exempt');

function qd_tax_exempt( $checkout ) {

echo '<div id="qd-tax-exempt"><h3>'.__('Tax Exempt').'</H3>';

woocommerce_form_field( 'shipping_method_tax_exempt', array(
'type' => 'checkbox',
'class' => '',
'label' => __('My organization is tax exempt.'),
'Required' => false,
), $checkout->get_value( 'shipping_method_tax_exempt' ));

echo '</div>';
}

add_action( 'woocommerce_checkout_update_order_review', 'taxexempt_checkout_update_order_review');
function taxexempt_checkout_update_order_review( $post_data ) {
global $woocommerce;

$woocommerce->customer->set_is_vat_exempt(FALSE);

parse_str($post_data);

if ( isset($shipping_method_tax_exempt) && $shipping_method_tax_exempt == '1')
//here i need change the tax_rate not set the exempt
$woocommerce->customer->set_is_vat_exempt(true);
}

//***********************************************************************************

But i need that the checkbox above change the tax_rate of the order how this code do:


//Apply a different tax rate based on the user role.

Function wc_diff_rate_for_user( $tax_class, $product ) {
if ( is_user_logged_in() && current_user_can( 'administrator' ) ) {
$tax_class = 'name of the tax rate';
}
return $tax_class;
}
add_filter( 'woocommerce_product_tax_class', 'wc_diff_rate_for_user', 1, 2 );


sumary: i need a checkbox in checkout page to change the tax rate by the user.