You would love it if you tried. You fund yourself "fighting" for shihonage-ing and following up with a ude hisigi juji gatame in a blink. That's what I meant
Of course, if you have the time to take aikido, judo and BJJ that's great!!
This is why I also practice Akayama Ryu Jujutsu, a tradition-based school that draws much of its aiki waza from Shodokan Aikido. The result is that I have an environment that allows and encourages that instantaneous switch from Aiki waza to Ju waza to Ne Waza during Jujutsu randori. This may or may not include weapons and striking and is done at varying resistance levels.
The result is that Jujutsu students of mine learn how to transition in their tactics as ma ai decreases from long, to medium to short range and then to ground fighting and sacrifice techniques. Since this system pretty much allows for any waza to be used in any situation, students get to apply wrist locks and elbows in ne waza, turn aigamae ate (irimi nage) into osoto gari if timing is off or drop into a sacrifice tai otoshi and move into kesa gatame.
On the flip side my Aikido students are sometimes challenged in kata or randori practice by Jujutsu style takedowns during their execution of waza to test their ability to maintain kamae and stability or to exert power in ways that does not allow them to be compromised by some of the typical Jujutsu or Judo responses to the Aikido waza.