No way! The "Constitution Party" (formerly the "Taxpayers' Party") is a front for the Rushdoonyan "reconstructionists" in the John Birch Society. They are moreover anti-Jewish and anti-Israel as all get-out.
They don't worship the One True G-d, they worship an American national "gxd" (as to many Trump apologists, in my opinion).
I’ve never seen anything anti-Semitic from the Constitution Party (and I understand it’s founder to be of Jewish descent himself). I’m not at any rate. I’ve also never noted a link between them and JBS, if they even exist any more.
Let’s say there was an element in the Constitution Party that did harbor such views - would it invalidate their platform? The danger here is that conservatives keep breaking into factions and marginalizing themselves with purity tests that are not necessary. It’s quite necessary to recognize who is on the right side of the fence (which is why I reject most Republicans as unacceptable “republicats” for example), but beyond that I’d say we need to agree to disagree on non-foundational issues.