I tie Nissan/Infiniti starter wires together all the time.....to be honest, this is not considered electrically acceptable, and it is contrary to how the car is designed...... but time is money, it works, and things don't burn out.
At any rate, since your DEI unit uses separate relay packs, this is VERY easy to take care of the right way.
You may have noticed that your car has only one ignition wire, but your remote starter has two ignition relays.....one with the pink wire, and the other with the pink/white. Since you're not using the pink/white wire for anything right now, we'll borrow it.
Look closely at the little ribbon cables coming out of the 552's brain and going to the relay pack, they go to terminal #86 of all the relays.........the brain puts out a weak negative signal on each of these wires, which triggers the relays, which puts a big strong positive signal on each of the big wires coming out.
And the color coding of the small wires is just the same as for the large ones.
Now, look closely at the little pink wire...this is the ignition trigger....see how it is jumpered to two relays at once? It is connected to the ignition 1 and 2 relays. Now look at the little purple wire; it is connected to the starter wire's relay.
I know I've made this a long story, but I just wanted you to understand how the system works....the modification is extremely simple. Here are the steps:
1. Go to the relay that contains the pink/white ignition 2 output.
2. Grab the little pink wire, and cut it away from the ignition 1 relay....cut it very close to the ignition 1 relay, so you'll have plenty of slack.
3. Strip some insulation off the little purple wire going to the starter relay.
4. Take the little pink wire that comes from the ignition 2 relay, and connect it onto the little purple wire.
That's it! From now on, the pink/white wire is a second starter output.
TACH:
I've never measured a Maxima tach wire with a meter, so I'm not sure of the voltage. See if the voltage changes when you rev up the engine.
I can also tell you that in the ECM harness, the tach wire is a very small wire, and it's wrapped in pieces of blue tape here and there...and I think it's the only WHITE/ green in there anyway.
So here's what you do.
Complete the rest of your install; save the tach wire for last.
Make a temporary connection to the wire that you think is tach.....don't worry about tape or solder or anything like that just yet.
Attempt to program tach to the remote starter. If it doesn't program, you're either following the program procedure incorrectly, or you have the wrong wire.
If it programs, great. Try to remote start the car, and see if it works... hopefully it will. Then, step on the gas and rev the engine way up to like 4000RPM; this should cause the remote starter to shut down for safety.
If the remote start works, and the over-rev protection works, you've got the right tach wire. Make your temporary connection into a permanent one, and put the car back together.