Before Texas turned so strongly Republican, it was this kind of Democrat that we had out in West Texas. What an oxymoron today--at least around here--conservative Democrat.
There are still a few of them wandering around, but they've pretty much been left behind by their party. There are still a few that appear in local/county/state races, but they are rarer than hen's teeth in national races.
It's too bad. It leaves a lot of older "yellow dog Democrats" round here with no one palatable to vote for.