Not the same comparison. By a loooooooooong shot.
It's not even a question of how literally we take the position of creationism and/or intelligent design. Or metaphysics or any of that. The issue with these two sides starts even at a more basic level. As it stands presently, the form Creationism and Intelligent Degisn has taken, shows itself as the lowest form of intellectual dishonesty.
Intelligent Design or Creationism, at present, their foundation is as REACTIONARY to the theory of evolution. One example, ridiculousness of irreducible complexity. Thus, their WHOLE position is trying to 'disprove'/counter aspects of evolution, which would then....(as per their 'logic').... 'prove' theirs. They haven't even *justified* why if NOT evolution, by default, it means evidence for ID....that's flawed 'logic' right there. NOT Science.
Disprove other, to prove me. Um...first you gotta establish why *me*. PROVE ME.
The theory of Big Bang does not practice such intellectual dishonesty, nor such flaw in presentation of argument. While disproving of counter theory happens within this debate, there is still a sound justification of *why* Big Bang (and it is not on the premise of 'cuz it's NOT the other').