moekaroit

Hello, your question is important, yet its confusing to me and to the officer who will interview you and the answer will be confusing as well haha
The fact that you are being pregnant would not speed up the process, in fact this will lead me to an important point which is:
there is no reason that you can give to the Immigration Officer to convince him of giving your husband a spousal visa in the first place,
Let me explain to you why;
1- You have been living in Cairo as you mentioned and not in the USA, there is no reason for the officer to give your husband a spousal visa unless you have well established plans that you both are moving to the USA to permanently live there
2- You mentioned that he already applied for a graduate program which makes a spousal visa an impossible solution as well because the main intention for you is to give him a green card, despite being bona-fide marriage or no it will sound fishy to the officer, why would you apply for a graduate program then a spousal marriage? that's in case he applied for a graduate program visa at the embassy... if he didn't apply for an actually visa at the embassy then that takes me to my third point
3- Assuming this is the first application at the embassy, the officer will definitely ask you, what is the purpose of the visa? are you moving? are you visiting? why do you want to get an immigration visa ? as you mentioned, because you want to give birth to your baby, the realistic answer to that is; B1/B2 visa
this will burst your bubble and I understand
But guess what? Its all up to the immigration whether to approve it or no, its solely up to him, and I have seen a lot of cases where people get denied for small reasons and some get away with major problems
One thing I learned from my immigration journey is to be realistic, tell the truth and wait for it... say the truth and get denied is way better than lying and getting denied for that... its not worth it ...
alll the luck !!