Health,
1. Which gedolim? You remind me of the pashkavillim wroiters who sign “harabbanim shelita”. Which rav? The erev rav? Harav im kulam?
2. Learn Tanach – unless your “gedolim” have banned it as Zionistic. David had an army. Learn Gemara. Just as Yoav needed David, David needed Yoav (Sanhedrin 49a)
3. I doubt very much that Rav Shach stood up just because he liked his grandson. He stood up davka when he was in uniform – he stood up for the uniform.
4. Is it also assur to have dealings with the Medina in order to take or just to give?
5. Rav Shlomo Zalman Auerbach (I presume thaty ou have heard of him) used to go to Har Herzl to visit kivrei tzaddikim. He was very machmir that one should violate Shabbat to make things easier for combat soldiers in wartime.