Leaving aside the outright lies - such as the idea that espousing Catholic teaching will see teachers arrested as bigots - there's this:
"And they fear that Christians who believe in the traditional meaning of marriage would effectively be excluded from some jobs – just as Catholics were barred from many professions from the Reformation until the 19th Century."
Er, no. The ha'penny worth of truth beneath this is that if (for example) marriage registrars are required to register gay marriages as part of their job, then (some) Catholics probably won't feel able to take a job as a marriage registrar. In other words, Catholics will be "barred" from these jobs in the same way that Quakers are "barred" from joining the armed forces. Oddly enough, you don't see Quakers writing hysterical letters to the press about being a persecuted minority.