Front brake drag, new pads is 'normal' - ish. They scrape a bit - tsshhhh - more than when they are bedded in - ie the pad surface worn down to be parallel to the disc surface. But if the pads are catching then the catching disc will nudge them back into the calipers within s relatively short distance. If you come to a stop without touching the brakes for 2 miles then I would expect them to be free.
So its time to look at what else could be causing the problem.
Some suggestions - things to look at, because I cannot diagnose it from here !
1. The rear pads come with a hite heat shield sandiched between the bronze backing plate of the disc pads and the metal, anti-squeal, chromed plate. This is to prevent the heat from the brake disc getting to the pistons and transferring it to the fluid. The front brake pads don't have these - so if you have been tempted to fit old ones to the front pads - well, there isn't enough room for them, and new pads will drag. The front pads don't need a heat shield - they get plenty of cold are blasted straight onto them. The rears have the exhaust and the heat of the engine to contend with.
I'm absolutely sure there is no mix up of pads the correct front and rear in the right position. It's good to clarify/ rule out - THX.
2. The pad springs - check out the 'Avoiding the pitfall' link I posted up above. Most of it talks about the rear caliper, but on your 2005, the front caliper is a very similar design to the rear. Check in particular, the orientation of the pad spring. The wider strip goes on the side of the pistons. Also check the tags on the narrow strip. They must not be bent and the pads should fit on the bracket side of the tags. When inserting the pad, push inner pad in last, part way. Then pull the claiper across so the the inner pad is squeezed between the disk and the inside are of the caliper. Then rotate the wheel so that the pad is guided in by the turning disc. That will ensure that the pad doesn't get on the wrong side of the little tag. Finally check that the tab end of the pad is properly seated in the retaining clip.
Update - all is good here. JH I read your article early on and have subscribed to thes methods.
3. The retaining clip for the rear pad has a ridge in it to fit the noth in the backing plate's tab. The front does not. If you have fitted the rear retaining clip to the front caliper braket, the pads cannot move. Its an easy mistake to make, and you wouldn't notice unless you know to look for it.
All is Good here
4. Check that your front wheel is installed properly. The left hand side caliper psoition relies on this for the brakes to function properly.
Did this with multiple bounces per your method, the left fork stays flush with the end of the axle shaft. Tightened up the pinch collars on left tube. Made no difference in drag. Clearance
(2) Article [13] - ST1300 - Maintenance - Front & Rear Wheel Install and Front Axle Animation | ST1300 Articles | ST-Owners.com
Checked this and also removed front wheel and reinstalled. The from allinment appears perfect - able to insert the axel through both forks super easy - just goes right through. Same with going through the wheel can push it through and it's seats st the flush depth in the left fork through hole. With no pads in I can spin the wheel a good 10 revs easy. Bearings are butter smooth.
Same article - check that the distance collars - one on each end of the axle - are correctly located and are the correct way round.
Distance collar verified correct.
5. And someone will probably chime in with checking the fork alignment so that the axle pushes through the holes easily.
VERIFIED PER ABOVE.
6. Just remembered. On a 2005, the rear pads backing plate is the same size as the fronts. But new, the rear pad friction material is thicker than that on the front. Make sure that you haven't mixed them. I don't think that there is enough room to fit new rears in the front, but one of each ? Maybe. I don't know. Worth mentioning though. Easy check rear pads have alittle rectangular notch at the tabe end - the end opposite the hole for the pad pin. Front pads do not.
No mixes
7 Check your pad pins are smooth and clean.
Really good condition, smooth surface, very clean.
8. Don't forget that the front brakes are also applied when the rear pedal is pressed. Which piston is not releasing ? The rear pedal applies the front centre pistons on both sides. The left one immediately, the right one when the pedal is pressed harder. Strips of paper slipped between pad and piston may help to identify.
Pushing the calipers in by hand to the point of no pad contact and then applying the hand brake (front) only caused the condition in the video. I don't see an increase in drag after applying the rear brake (center piston). The right caliper contributes more than the left caliper, to drag.