I wouldn't but that's me. I wouldn't also because I think that 2u2 sounds pretty miserable. DS just turned 2 and we are now ready/impatient; my ideal age gap would probably be around 2.5 yrs and we already missed that. But one thing I'm glad about is that I do not have a newborn right now. And to put it in your terms, yeah I'm really glad I didn't have a newborn a few months ago!
I also would want to feel more financially secure if I were you but that's easy for me to say because we are in pretty good shape financially ourselves.
I thought of another pro for you, though -- I heard that financial aid is a lot more generous when you have two kids in college at once than when you do not. Granted you're paying more during that time, but because of the generosity you will end up paying less overall. If those rules are still in play when our kids are old enough.