I found screenshots of TV Guide article and found it interesting that Alex says Kara is her role model.
All the other women--Kara, Lena, Maggie--took the question the usual way. I mean, when people ask this question, generally, you think of some historical person or fictional character, or even some contemporary big shot. You don't think of your family--although, in real life, your family might influence you a lot. Mostly subconsciously I think.
May be Chyler brings some of her "family first" mentality to her role? Just like Melissa brings her strong feminist thoughts to her role? Although, I think what Melissa said about Kara admiring Marsden and hence, having the same hero worship for Warren and Clinton makes sense. Also, she did come back to the fictional world and say "Cat Grant!" And that makes perfect sense.
Back to Chyler, Alex has also been pretty much a family first person, so it makes sense canonically for her to consider Kara her role model I guess. In S1, it was pretty much clear. In S2, not so much.
However, interesting to wonder how their real personas affect their screen personas. (I am not saying it is a bad thing. Each individual should bring their own interpretations or where is the fun?)
What Maggie and Lena said, well, I guess, they never got the time in show to actually portray that.
Additional notes:
Kara: Possibly Warren and Clinton (because she is obsessed with Marsden), definitely Cat Grant
Alex: Kara
Maggie: Wonder Woman (is she there in this universe), Atticus Finch and somebody named Susan B Anthony
Lena: Joan of Arc
PS: Pretty much a rambling post though, now I realise. However, if anyone needs the info and haven't read it yet.
PS2:
Also, I didn't see any role model discussion for guys. May be, I missed it. Would be interesting to compare. I think that it could be (as per this canon):
Mon El: Kara
Winn: Also, Kara (probably superman, but I have never thought Winn thinks of him as a role model; and I guess, by now Lord will have fallen from grace)
J'onn: Jeremiah
Superman: Lois? (I don't think Kara though he clearly respects and admires her)
James: (I have no idea. I have never really heard him speak about Superman the way Kara speaks about Cat or Alex speak about Kara--in one of the deleted scenes with Lord last season, at least)