Hi Angela,
I live here in Alaska too (I was BellaOnline AK Editor until my husband suffered a severe TBI and sidelined me a while back) and I had to smile at your questions of how to stay WARM here (G).
Believe it or not, we have houses with gas heat in most larger Alaskan cities ... and those who don't have gas heat have wood stoves, fuel oil boilers, electric heat (sometimes solar or generator supplied) or a mix of all of the above). I haven't seen any igloos recently (smile) ... just kidding!
I live about 10 miles outside of Wasilla, AK, and we stay quite comfortable all winter on locally harvested wood heat. We are getting older though, and my husband is now partially disabled, so we do depend more and more on our fuel oil boiler to see us through the long Alaskan nights - that way we don't have to get up and stoke the woodstove in the dark. First thing in the morning, a toasty wood fire takes over and is amazingly comfortable and comforting as we look out over our winter wonderland. :)
When traveling, most people use cars, trucks, RVs, buses or trains. The last time I checked, they all had heaters (wink).
Seriously (smile), the previously mentioned "layering" was a good response. Even in winter, I start out with a short-sleeve shirt or blouse of some sort over jeans or slacks. Most places you are going will be heated and you'll want to shed those "outer layers". Over this, I'll usually add (in any season, including summer) a light weight sweater or sweatshirt, just in case. In winter, I add one of my heavy down coats (Cabela's is an excellent resource for truly "Alaska-appropriate" heavy coats (pretty ones or purely practical ones) and other outdoor gear.
Another good source is Duluth Trading Co. You can look either up online for ideas.
For footwear; it really depends on what you are planning. In the summer, we wear tennis shoes, hiking boots or strappy sandals or heels just like anyplace else. BUT ... during the winter, it's a good idea to store a pair of bunny boots or other well-insulated winter boots behind the seat of your vehicle ... just in case. I do own a cushy pair of Muk-Luks made from Alaska-harvested furs ... but you will honestly find me more often in plain, ordinary shoes unless I plan on being outdoors for a long time.
If you have any other questions about the weather in AK, let me (and your current AK editor :) know. I'm betting you'll get more answers than you expected.
Cheers,
Deb in AK