Er . . . um, yes, you started them too early. Soon you will have a tangled mass of unseparable plants. Morning glories can't take any frost, so you won't be able to plant them outside until late May.

Putting them outside temporarily is the same for morning glories as hardening off for any plant. You'll need to wait for 60+ degree (high) days to begin the process. Here is one of the many links you'll find for the hardening off process.
http://www.veggiegardeningtips.com/hardening-off-seedlings/
Some say it can be done in as little as 7 days, and plants will survive, but the stress on the little plants is too great, IMO. I believe 10-14 days is needed.

You have probably read that fertilizing is "bad" for moring glories. It will often keep them from flowering well when they are large enough to flower. At the young plant stage, this nay-saying does not apply. Often seedling mediums are fairly deficient in fertilizer, in preference of the water retentiveness and good drainage that a mix high in peat provides. Low fertility could be your problem, but I suspect it is insufficient light.

Keep your plants as close to the tubes as possible, but for the most part, not touching the lamps. If some leaves touch the flourescent tubes, that's OK. If you are able to reduce the temperature, especially at night, to even 50F, this will also help slow the growth and entanglement, and produce more stout and hefty(for a vine) plants. Even a 2 degree reduction will be significant, but the more the better. Nothing would stop me from giving them a trim, either. If there are more than, say, 10% of the leaves shading other leaves, than they are too crowded. You'll need to thin them. 30 plants in a flat might be fine now, but that won't be enough room as they grow. Fast growing plants like morning glories are best started quite late.

By the way, typing in all capitals is equivalent to yelling, but in writing. And I have to admit that trying to read it is a bit unsettling. Someday, you'll come across someone who will take it as you have written it, and not the way you intended.

Just another piece of friendly advice,
Rick

Seeds are inexpensive, I would chalk up the loss to a learning experience (I have had many) and start some new seeds, keeping them till it is time to plant out will be a pain in the um, neck. Morning glories are actually so darn speedy, and are so dependent on heat for real growth, that you might just want to start them outdoors at the proper time. Oh, and I have to agree about the all caps.

Helen.