I would point out that the claims in the above pic are not totally accurate. Where Muslims sentence gays to die, the method of execution isn't always beheading. Instead, in some places it's hanging, stoning or even burning (a method used centuries ago in Europe by Christian authorities). For unbelievers who are Christian or Jewish, there is a third option, submitting to theocratic Muslim rule as a dhimmi, with far fewer rights than Muslims, and with far more restrictions. But the general point is correct. Fundamentalist Muslims, if given the chance, would make the Christian right look like agnostic libertarians.
For a brief summary, see this picture.