I don't know exactly is there is a variable already set in smarty or not, but your can define your customer variable with object of customer:
Find controllers/front/ProductController.php file, find method assignPriceAndTax and in the end of it you will find something similar to this:
$this->context->smarty->assign(array(
'quantity_discounts' => $this->formatQuantityDiscounts($quantity_discounts, $product_price, (float)$tax, $ecotax_tax_amount),
'ecotax_tax_inc' => $ecotax_tax_amount,
'ecotax_tax_exc' => Tools::ps_round($this->product->ecotax, 2),
'ecotaxTax_rate' => $ecotax_rate,
'productPriceWithoutEcoTax' => (float)$product_price_without_eco_tax,
'group_reduction' => $group_reduction,
'no_tax' => Tax::excludeTaxeOption() || !$this->product->getTaxesRate($address),
'ecotax' => (!count($this->errors) && $this->product->ecotax > 0 ? Tools::convertPrice((float)$this->product->ecotax) : 0),
'tax_enabled' => Configuration::get('PS_TAX') && !Configuration::get('AEUC_LABEL_TAX_INC_EXC'),
'customer_group_without_tax' => Group::getPriceDisplayMethod($this->context->customer->id_default_group),
));
Add to this array
'customer_object' => $this->context->customer,
This variable you can use on the product page.
You can use the same way to close those buttons for all 'buy-windows' on your site.