Should I be worried. 1st year cuttings. Temp is dropping into the high 30's at night. All my 1st year cuttings have stopped new growth, but the wood is still very green. I thought they would have hardened off my now. Is this normal or am I getting into a danger zone?

Can you bring them inside at night?

Not really...it's 15 plants in 5 gallon pots and I'm in a townhouse. I do have them in a small green house which has no insulation but seems to keep the temp from dropping below 45 when it's 38 outside, but the colder it gets outside the lower that temp inside will go.

Hmm.  You might be hooking up a heater then.  I'm sure there are others in your area that can chime in about that.

Many of mine also have more green wood than I would have expected for this time of year. I cut-off liquid fertilizer back in August.  We have hit lows in the 50's but I'm not sure if we have yet hit the 40's.  Hopefully, I'll see some changes very soon...

It is a little scary.
I have a large empty, unheated room where my plants can slip into
dormancy.
Temps around here are gonna drop this weekend.
I'm bringing them all in, I won't take any chances.
Maybe you should cut the water and drape a drop cloth over the greenhouse
at night.

Lots of green wood still this year, the majority of my 1 yr old trees are about 1/2 green. The leaves are starting to yellow quickly though. I'm able to do the shuffle so it's no big deal for me. I think the green house should be fine, especially if it gives you a 7 degree buffer. A 100 watt light bulb can really add a lot of heat to a small structure. In my yard, my green stems have gotten 34 degrees and were just fine, but if it freezes the green is toast.

I had been feeding potassium sulfate 5, 4 and 3 weeks ago, if I thought the wood was greener than what I would like to see, I pinched the tip a few weeks back most of them are 2/3 brownish, the cold temps have really been helping with it, the danger zone is when they get frost on them, but even still if have some brownish in them don't let them see too hard of a freeze such as below 32 or 30 more of less right away, just move them close to your house if you can when the temps are  getting close to that and you will gain some protection for a little bit longer while they harden off as much as they can.  If it's going to get too cold you could drape a blanket over top of your greenhouse at night to keep frost from forming inside.

It might be late to start now for the far north, but there is a product that helps plants harden off for winter.  It's silicon with potassium.  There is more than one brand but I use Pro-Tekt by Dyna-Gro. http://www.hydrogalaxy.com/nutrients-supplements/dyna-gro-pro-tek-quart/?gclid=CJHajsOCnLoCFcaj4AodhzsAOQ   I generally use it half strength.

Do you spray it on or water it in?

The label says as a feed, you don't need too much.

With commercial greenhouse cucumbers we love to have silica in our feed, it helps with mildew and plant defense.  We have a lot of silica in our well water so we will supplement with a silica spray as a foliar feed when we are spraying for mildew.  Compared to running on town water, the well water with the silica seems to give thicker leaves and less mildew, there are growers who feed in silica when they don't have enough in their water for the express reason of controlling mildew.  For the amount needed to feed with this product, it seems relatively cheap.

Chrome
juvenile first year plants generally are stubborn when it comes time to go into dormancy and can be killed more easily than older plants.
You say temps dropping in high 30s at night in first post.- you can bring into where you normally store
your plants the leaves will eventually fall.
Too cold of storage area and 1st season plant runs risk of dieing like in my area.

When i have 1st year ones i stick in attic as its a little warmer than the garage where i have in past lost some
as it can get pretty cold in winter storage staying in the teens in January where the adult plants snore.

Fig plants respond to less light and cooler temps similar to street trees loseing their leaves .
Juveniles not so much like a kid playing in the snow and refusing to come in until there darn near froze !