Plenty of yoga classes in the U.S. have no spiritual component whatsoever, it's simply exercise. I've taken such classes.
That said, the yoga classes offered at our church (in the parish hall, NOT in the sanctuary) were too New Agey for me, so I quit. The instructor is a parishioner, but she's clearly a New Age nut . . . has a website all about being a "Peace Warrior" etc.
I haven't been in the parish that long, so I'm not raising a stink to the rector. The class has maybe 8 people in it, both women and men.
With that being the case where the question is one of the neutrality of the State in the practice of religion. How much more seriously must we take the commandment of God, to have no other god’s before Him. To allow the desecration of a Church by inviting a pagan religion before the very altar is a sin of gravest consequence. It is, to not put too fine a point on it, demonic. The Church should be reconsecrated and prays offered for those who endanger their souls by their error.
We should feel shame and horror that so many Catholics are so poorly catechized that they see no problem with this idolatry. Pentecost is approaching pray that the fires of the new pentecost inflame the hearts of the faithful. That the passion for Christ’s truth this flame ignites leads to a great evangelism. That this evangelism brings souls to Christ and enlightens our world.