I think you have a good chance and would keep it.
You will have to exit left (connections). Alaska leaves both from T-2 and Intl T, A Gates. If "A" gates up 1 flight and opposite side. If T-2 then a 5-7 minute walk inside the building to T-2. You will have to go through security again in both cases.
I have done the transfer to AS (T2) in 20 minutes from arrival (but bags were out fast).

T-2 will be "D" gates. You can look up the gate on flightaware.com as well as the AS web site.

--Updated:
Since you have separate tickets if AS is at "A" gates exit right from US Customs (and not left for connections). If "D" gates, I think left is better.

Can someone confirm AS still has a "check-in" in the Intl Term for their Gate A flights?