I just said "iru", "wakaru", "dekiru", -tai forms, and potential forms CAN TAKE the object marker "ga", and these verbs express the state. In other words, I didn't say that all stative verbs take the object marker "ga". In fact, there are many -tai forms that hardly take "ga" even among transitive verbs(e.g. 彼女が?助けたい, プレゼントが?あげたい). Further, I didn't mention "wo" at all.
As for "wakaritai", yes, "wo" can be used.
e.g.
君のことをもっとわかりたいと思った。
Kimi no koto wo motto wakaritai to omotta.
Because we can use "wo" even for "wakaru".
e.g.
君の気持ちをまったくわかっていなかった。
Kimi no kimochi wo mattaku wakatteinakatta.
The -tai form of intransitive verbs that can take "wo" (e.g. arukitai, wataritai, tooritai) also take "wo", of course.;-)
EDIT:
Supplement
My main point in my previous post is the reason the -tai form CAN take the object marker "ga". It's not because the -tai form is SEEMINGLY adjective, as you wrote, but rather because the -tai form is SEMANTICALLY stative. This idea can explain in a more rational way the reason why the -nai form can't take "ga", and the reason why "iru", "wakaru", "dekiru", or the potential form can take "ga".