Full on Barrier

The problem with the "makes 4 programs useless" mentality is that it's incredibly deceptive. You're not making the programs useless; you're making it so the Runner doesn't have to use them. It's like a runner bringing a set of keys to the gates of your castle and you laughing "Haha! Joke's on you! It's not even locked!"

a deck like this is crying out for Blacklist / Will-o-wisp.

also, how are you planning to land a tag?

True they will get through the barrier ice with those breakers, but I'm hoping that by adding Taurus I could pay for 5 trace and remove them. Its possible it won't work. I can also install some morphing ice to give me some swaparoo.

As for tagging, I could forfeit a posted bounty and double scorch perhaps. The blacklist/will-o-wisp are great ideas to add.

Taurus trashes hardware rather than programs.

May I suggest a Grim as well so you can target the barrier breaker.

You may want to look at some of the old Uncorrodable decks which were heavy on barriers and utilised Power Shutdown to lock out the runner

Consider Will-o'-the-Wisp, Blacklist, and a one / two of Enigma and one / two of Rototurret (Or a similarly punishing sentry) - forces the issue on breakers, and still maintains the theme

Changeling and Wendigo. Both are half-barriers and both force gearcheck without compromising the deck's theme.

You need to decide what kind of deck you want to play in terms of agendas. You either have to go all in on the Government Takeover build or you need to fix your agendas. Most decks typically want to aim for 49 cards, and in Weyland for a deck like Blue Sun you want to aim for anywhere between 9-11 agendas. 13 with Government Takeover means you're gonna lose to R&D digs really quick.

I would take a look at the morph ICE in Weyland, the one that starts as a barrier and the one that becomes a barrier because they can do the same things as Will O The Wisp but in ICE form. Tyrant is really really slow and I recommend dropping it for some other barriers. Bastion is a solid choice in here as well as Asteroid Belt since you can rez it for cheap if you put the 3 investment into advancing it.

Priority Requisition is good with Blue Sun - also could consider Project Atlas and Geothermal Fracking. I would make room for another Curtain Wall so you can Oversight AI.