You can't transfer without English 100 and an English/Critical thinking course. No matter how many units you have, a UC won't take you. So no, don't drop English.
You only get up to 70 transferable UC credits, after that point classes will just start meeting GE requirements. To transfer to any UC, you have to have completed two English classes, a Quant course, and 4 courses in humanities, natural sciences, or social sciences. You need 60 credits to be considered an upper division transfer.
Have you meet with a transfer councilor yet? I didn't have the IGETC done. Have you looked at assist.org?
Maybe you just need to do the IGETC and enroll in TAG, maybe you should focus on major prep. These are questions a councilor can assist you with. In my view, you'd be served better by doing all your major prep, and taking GE only when it's reasonable and you have time. Also keep in mind that UCLA isn't the easiest UC to get into, and you should also think about backup UC schools and check their assist.org.
Two years of 15 credits per normal term + 6 during the summer term = 36 per year, or 66 (with the summer term dropped) in two years. No need to kill yourself doing credits that won't transfer.
If you don't do all the GE it depends on your program and subcollege if they have them at UCLA whether you'll still need to make up your GE.
Edit:
You really need to talk to someone at your school, IGETC doesn't appear to be recommended for this major:
Listed below are the lower division preparation courses for the major. At a
minimum, you must complete one year of calculus with analytical geometry and one
year of calculus-based physics(mechanics, electricity and magnetism). All
preparatory courses must be completed by the spring term prior to transfer. All
courses must be taken for a letter grade. For more information regarding
preparation for this major and UCLA's transfer selection process, visit
www.slavic.ucla.edu and
www.admissions.ucla.edu.
--------------------------------------------------------------------------------
PHYSICS 1A & Physics for Scientists (5)|PHYS 201 & Engineering Physics (4)
and |
Engineers:Mechanics |
PHYSICS 1B & Physics for Scientists (5)|PHYS 202 & Engineering Physics (4)
and |
Engineers:Oscillations |
, Waves, Electric and |
Magnetic Fields |
PHYSICS 1C & Physics for Scientists (5)|PHYS 203 Engineering Physics (4)
and |
Engineers:Electrodynam |
ics, Optics, and |
Special Relativity |
PHYSICS 4AL & Physics Laboratory for (2)|
Scientists and |
Engineers:Mechanics |
PHYSICS 4BL Physics Laboratory for (2)|
Scientists and |
Engineers:Electricity |
and Magnetism |
--------------------------------------------------------------------------------
PHYSICS 17 Elements of Quantum (4)|No course articulated
Mechanics and |
Statistical Mechanics |
--------------------------------------------------------------------------------
PHYSICS 87 Introduction to (4)|No course articulated
Biophysics |
--------------------------------------------------------------------------------
CHEM 20A Chemical Structure (4)|CHEM 111 General Chemistry (5)
--------------------------------------------------------------------------------
CHEM 20B Chemical Energetics and (4)|CHEM 112 General Chemistry (5)
Change |
--------------------------------------------------------------------------------
CHEM 30A Organic Chemistry I: (4)|CHEM 211 Organic Chemistry (5)
Structure and Reactivity |
--------------------------------------------------------------------------------
CHEM 30B Organic Chemistry II: (4)|CHEM 212 Organic Chemistry (5)
Reactivity, Synthesis, |
and Spectroscopy |
--------------------------------------------------------------------------------
LIFESCI 2 Cells, Tissues, and (4)|BIOL 200 & Principles of Biology (5)
Organs |
|BIOL 201 Principles of Biology (5)
--------------------------------------------------------------------------------
LIFESCI 3 Introduction to (4)|BIOL 202 Molecular (4)
Molecular Biology | Biology/Genetics
--------------------------------------------------------------------------------
LIFESCI 23L Introduction to (2)|No course articulated
Laboratory and |
Scientific Methodology |
--------------------------------------------------------------------------------
LIFESCI 4 Genetics (5)|BIOL 202 Molecular (4)
| Biology/Genetics
--------------------------------------------------------------------------------
MATH 31A & Differential and Integral (4)|MATH 170 & Analytic Geometry and (4)
Calculus | Calculus I
MATH 31B Integration and Infinite (4)|MATH 190 Analytic Geometry and (4)
Series | Calculus II
--------------------------------------------------------------------------------
MATH 32A & Calculus of Several (4)|MATH 220 Analytic Geometry and (4)
Variables | Calculus III
MATH 32B Calculus of Several (4)|
Variables |
--------------------------------------------------------------------------------
MATH 33A Linear Algebra and (4)|MATH 240 Calculus and (4)
Applications | Differential Equations
--------------------------------------------------------------------------------
Listed below are additional degree requirements for this major that are
strongly recommended and can be met with community college courses:
--------------------------------------------------------------------------------
LIFESCI 1 Evolution, Ecology, and (5)|BIOL 200 Principles of Biology (5)
Biodiversity |
--------------------------------------------------------------------------------
MATH 33B Differential Equations (4)|MATH 240 Calculus and (4)
| Differential Equations
--------------------------------------------------------------------------------
PHYSICS 18L Modern Physics (4)|No course articulated. Course must be
Laboratory |taken at UCLA.
--------------------------------------------------------------------------------
END OF MAJOR
You have over 50 units of major prep that's doable in your CC, you still need 8 units of english on top of that, you might also want to do a language if you haven't in HS.
Go talk to someone.