The actual line was as I remember:-

I danced on the sabbath and I cured the lame -
The holy people said it was a shame.
I have always understood this to refer to the fact that various religious authorities interpreted the bible to say that on the sabbath you should do no work. Curing the lame was work. They took objection.

Nothing to do with crucifixion. Then as now, it seems good works cannot go without castigation. Not even writing great hymns.

(then fresh sentence with unspecified subject))
They whipped and stripped me and hung me high
left me there on a cross to die.

Officially of course the Roman soldiers did all that. But I think when a great voice is stilled, all decent men feel some collective guilt.

PS Sorry I called you a twit