Oh, no doubt. I'd put money on there being many people today that are resentful that it didn't go anywhere, performative as it was.
This is one of those perennial performative measures (like prohibiting flag burning) that Republicans bring forward. It's not limited to Republicans, though. Moderate-conservative Democrat Sen. Robert Byrd of West Virginia pushed it probably half a dozen times from the '60s to the '90s.
It looks like this one (Senate Judiciary Resolution 73) was sponsored by Sen. Strom Thurmond (R-SC) and favored by Reagan. As they tend to be, it was largely an attempt to end-around Abington Township v. Schempp (1963), in which the Supreme Court held that sanctioned or mandated prayer in public school is unconstitutional as it violates the Establishment Clause of the First Amendment to the United States Constitution ("Congress shall make no law respecting an establishment of religion"), the other half of the enshrinement of religious freedom in the Bill of Rights.