Thanks for bringing these up. Let's discuss them.
Pharaoh hardened his own heart before God says anything about it, showing that when God "hardened Pharaoh's heart," he wasn't doing anything actively (as you have implied), but merely let Pharaoh pursue the course Pharaoh had already decided to pursue.
Pharaoh reveals a hard heart from the starting line towards the people of Israel (Ex. 1.11-22). Pharaoh also shows a hard heart towards God in Ex. 5.2. Exodus 7.13 says Pharaoh's heart became hard and he would not listen to them. God hasn't done anything actively like interfered with his free will, but rather has left Pharaoh to harden his own heart. God gave him over to it (as in Romans 1.18-32: when people exercise their free will in rebellion against God, he doesn't stop them but lets them do it. He doesn't interfere with their free will.) God is not forcing Pharaoh to be rebellious, Pharaoh has already decided that on his own. God isn't actively forcing Pharaoh to do anything against his will, but rather just affirming what Pharaoh has decided on his own. God "hardened" hearts that are already hard. They made their choices, God brought elements into their lives that should have turned them around but only cemented them further in their positions. It is only in that sense that God hardened hearts.
> Ezekiel 36.26-27
You'll notice if you read the context (start at v. 22 if you don't want to invest much time) that God is expressing a series of blessings that He plans to shower on the people of Israel—gifts that they do not deserve. The term that you have translated as "cause" is from the root asa which means "do" or "make" in the broadest sense and with the widest application. The context shows us that God is gifting them, not forcing them. His gifts are a motivation for them, not a coercion.
> Heb. 4.12
The word used here is κριτικὸς: “Skilled in judging; discrimination; discernment; the intelligence that discerns.” It is a sifting process at work, and then analysis of evidence. The all-seeing eye of God will make no mistakes. Ultimately the truth of God’s revelation will be used to assess and judge all things. It is the plumb line of history and humanity, of truth and reality. There is no notion of coercion here.
> Dt. 2.30
Same as before. As J.A. Thompson writes in his Tyndale OT commentary on Deuteronomy (p. 95):
"Sihon hardened his own heart first, as Pharaoh had done. God gave him over to it."
> of god specifically influencing
Influence, yes. Coercion, no. They are very different things. I am trying to influence you to see God as active and influential, but I am not forcing you in any way to my position. That is your choice. So also with God's interactions with humans.