If you do that, you would still be challenged on question 37. Question 38 actually refers to a different categorization of Conscientious Objector in parallel to what is done with COs in the armed forces, i.e., someone who would still be in the armed forces but not in a combat role.
You still need a supporting letter from either a religious organization (who knows how to write them, see my earlier links) or an organization that supports COs (such as the Center on Conscience & War). "Religious" in this case can also mean "sincere, meaningful and deeply held beliefs". You can bring the letter to the interview, no need to send it with the application. However, as I said, you will need to be prepared for some head wind and do your homework, since most IOs know very little and sometimes also get incorrect advice from their supervisor (as in my case). So you need to be prepared to tell them politely but firmly that they are wrong in their interpretation of the rules. Needless to say, the rest of your case should be straightforward, since you will likely antagonize the IO.
From the Adjudicator's Field Manual:
(2) Under current statute; exemptions . (I) Prerequisites . To qualify for the exemption from the
promises to bear arms and to perform noncombatant service, a petitioner must show each of the
following; 19/ (1) that he is "opposed to any type of service"; 19a/ (2) that his objection is grounded in
religious principles, as construed by the Supreme Court in Welsh v. U.S. , 398 U.S. 333 (1970), and
U.S. v. Seeger , 280 U.S. 163 (1965); and (3) that his beliefs are sincere, meaningful, and deeply held.
19b / The three tests are cumulative and each must be satisfied. 19c/
