Today it is only the name, but when DOMA is struck down or repealed -- which it surely will be -- then the FEDERAL benefits of marriage that are written into more than a thousand federal laws will accrue to married same-sex couples. That is the focus of this battle -- not some imagined attack on religion, which doesn't even enter into civil marriage.
THAT is why it's called "marriage equality" -- because the point is to make everyone equal under the law. But that will not happen if it's only possible at the state level. In that case, you're right that the only difference is a semantic one.