It's a tricky one, I suppose it's all about causing/taking offence?
My pagan father-in-law could never wrap his head round my Catholicism, but part of his summer solstice celebrations was a ritual performance – very shamanistic, fire and water, Father Sun, Mother Moon – and he would ask me to assist him in his ceremonies. Very much the 'go there, hold that, pass me this' kind of thing, but the fact was he did.
I'm sure some Christians would recoil at my assisting at what must be, in their eyes, a satanic ritual. But the simple fact is, helping him in the performance of his faith never interfered or impeded me in mine. Nor did his aim and intentions offend me.
Likewise, when I did martial arts, I used to bow to the sword, the sensei and the kamiza, but I never saw that as 'having false gods', to me it was in respect of those who paved the way for the art I followed, but I know, again, many Christians would see this as idolatry.
It's a balance ...