Hi,
I went on your website and all your shipping methods show with the price in the current currency. Some of them are converted from the currency you used in the shipping method.
I suppose that you mean that you would like to filter the shipping methods so that they are only displayed when their price is in the current currency.
There is no option for that.
But I have a question to you. How come you have such needs ? Suppose that I'm in France, selling books around the world. All my books are shipped out from France with one or two carriers. But the price they ask for shipping is ALWAYS in euros and never in something else. Prices will vary based on where I'm sending the books, but I don't see why the price should vary based on the currency selected by the user for the payment ? It seems to be two different things.